1.
図書
Joachim Kock, Israel Vainsencher
目次情報:
続きを見る
Preface
Introduction
Prologue: Warming up with Cross Ratios, and the Definition of Moduli Space / 0：
Cross ratios / 0.1：
Definition of moduli space / 0.2：
Stable n-pointed Curves / 1：
n-pointed smooth rational curves / 1.1：
Stable n-pointed rational curves / 1.2：
Stabilization, forgetting marks, contraction / 1.3：
Sketch of the construction of [Characters not reproducible subscript 0,n] / 1.4：
The boundary / 1.5：
Generalizations and references / 1.6：
Stable Maps / 2：
Maps P[superscript 1 Characters not reproducible] P[superscript r] / 2.1：
1-parameter families / 2.2：
Kontsevich stable maps / 2.3：
Idea of the construction of [Characters not reproducible subscript 0,n] (P[superscript r], d) / 2.4：
Evaluation maps / 2.5：
Forgetful maps / 2.6：
Easy properties and examples / 2.7：
Complete conics / 2.9：
Enumerative Geometry via Stable Maps / 2.10：
Classical enumerative geometry / 3.1：
Counting conics and rational cubics via stable maps / 3.2：
Kontsevich's formula / 3.3：
Transversality and enumerative significance / 3.4：
Stable maps versus rational curves / 3.5：
Gromov-Witten Invariants / 3.6：
Definition and enumerative interpretation / 4.1：
Properties of Gromov-Witten invariants / 4.2：
Recursion / 4.3：
The reconstruction theorem / 4.4：
Quantum Cohomology / 4.5：
Quick primer on generating functions / 5.1：
The Gromov-Witten potential and the quantum product / 5.2：
Associativity / 5.3：
Kontsevich's formula via quantum cohomology / 5.4：
Bibliography / 5.5：
Index
Preface
Introduction
Prologue: Warming up with Cross Ratios, and the Definition of Moduli Space / 0：
2.
図書
J.F. Adams
目次情報:
続きを見る
Preface
S.P. Novikov's Work on Operations on Complex Cobordism / Pt. I：
Cobordism groups / 2：
Homology / 3：
The Conner-Floyd Chern classes / 4：
The Novikov operations / 5：
The algebra of all operations / 6：
Scholium on Novikov's exposition / 7：
Complex manifolds / 8：
Quillen's Work on Formal Groups and Complex Cobordism / Pt. II：
Formal groups / 1：
Examples from algebraic topology
Reformulation
Calculations in E-homology and cohomology
Lazard's universal ring
More calculations in E-homology
The structure of Lazard's universal ring L
Quillen's theorem
Corollaries / 9：
Various formulae in [pi][subscript *](MU) / 10：
MU[subscript *](MU) / 11：
Behaviour of the Bott map / 12：
K[subscript *](K) / 13：
The Hattori-Stong theorem / 14：
Quillen's idempotent cohomology operations / 15：
The Brown-Peterson spectrum / 16：
KO[subscript *](KO) / 17：
Stable Homotopy and Generalised Homology / Pt. III：
Spectra
Elementary properties of the category of CW-spectra
Smash products
Spanier-Whitehead duality
Homology and cohomology
The Atiyah-Hirzebruch spectral sequence
The inverse limit and its derived functors
Products
Duality in manifolds
Applications in K-theory
The Steenrod algebra and its dual
A universal coefficient theorem
A category of fractions
The Adams spectral sequence
Applications to [pi][subscript *](bu[actual symbol not reproducible]X): modules over K[x, y]
Structure of [pi][subscript *](bu[actual symbol not reproducible]bu)
Preface
S.P. Novikov's Work on Operations on Complex Cobordism / Pt. I：
Cobordism groups / 2：
3.
図書
by E. Vesentini ; notes by M.S. Raghunathan
4.
図書
by John M. Franks
目次情報:
続きを見る
Hyperbolic chain recurrent sets Morse gradients Symbolic dynamics for basic sets
Smale diffeomorphisms Zeta functions Morse inequalities
Morse-Smale diffeomorphisms Morse-Smale flows Smale flows Flows on $S^3$ Beyond the theme
Subshifts as basic sets / Appendix A：
Constructing fitted diffeomorphisms / Appendix B：
References
Hyperbolic chain recurrent sets Morse gradients Symbolic dynamics for basic sets
Smale diffeomorphisms Zeta functions Morse inequalities
Morse-Smale diffeomorphisms Morse-Smale flows Smale flows Flows on $S^3$ Beyond the theme
5.
図書
by A. Borel and N. Wallach
出版情報:
Princeton, N.J. : Princeton University Press , Tokyo : University of Tokyo Press, 1980 xvii, 387 p. ; 24 cm
シリーズ名:
Annals of mathematics studies ; no. 94
子書誌情報:
loading…
所蔵情報:
loading…
6.
図書
by Stephen S. Shatz
7.
図書
A. Borel, et al.
8.
図書
Constantin Bănică and Octavian Stănășilă
出版情報:
Bucuresti : Editura Academiei , London ; New York : Wiley, 1976 296 p. ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
9.
図書
Jean-Pierre Serre
10.
図書
by Stephen S. Shatz
出版情報:
[Princeton, N.J.] : Princeton University Press , [Tokyo] : University of Tokyo Press, 1972 x, 252 p. ; 24 cm
シリーズ名:
Annals of mathematics studies ; no. 67
子書誌情報:
loading…
所蔵情報:
loading…
11.
図書
by P.J. Hilton and S. Wylie
出版情報:
Cambridge : University Press, 1960 484 p ; 23 cm
子書誌情報:
loading…
所蔵情報:
loading…
12.
図書
by Karl H.Hofmann and Paul S. Mostert ; with an appendix by Eric C. Nummela
出版情報:
Berlin ; New York : Springer, 1973 236 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
13.
図書
Yuri I. Manin
14.
図書
Victor W. Guillemin, Shlomo Sternberg
出版情報:
Berlin : Springer, 1999 xxiii, 228 p. ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Introduction
Equivariant Cohomology in Topology / 1：
Equivariant Cohomology via Classifying Bundles / 1.1：
Existence of Classifying Spaces / 1.2：
Bibliographical Notes for Chapter 1 / 1.3：
G* Modules / 2：
Differential-Geometric Identities / 2.1：
The Language of Superalgebra / 2.2：
From Geometry to Algebra / 2.3：
Cohomology / 2.3.1：
Acyclicity / 2.3.2：
Chain Homotopies / 2.3.3：
Free Actions and the Condition (C) / 2.3.4：
The Basic Subcomplex / 2.3.5：
Equivariant Cohomology of G* Algebras / 2.4：
The Equivariant de Rham Theorem / 2.5：
Bibliographical Notes for Chapter 2 / 2.6：
The Weil Algebra / 3：
The Koszul Complex / 3.1：
Classifying Maps / 3.2：
W* Modules / 3.4：
Bibliographical Notes for Chapter 3 / 3.5：
The Weil Model and the Cartan Model / 4：
The Mathai-Quillen Isomorphism / 4.1：
The Cartan Model / 4.2：
Equivariant Cohomology of W* Modules / 4.3：
H ((A ⊗ E)bas ) does not depend on E / 4.4：
The Characteristic Homomorphism / 4.5：
Commuting Actions / 4.6：
The Equivariant Cohomology of Homogeneous Spaces / 4.7：
Exact Sequences / 4.8：
Bibliographical Notes for Chapter 4 / 4.9：
Cartan's Formula / 5：
The Cartan Model for W* Modules / 5.1：
Bibliographical Notes for Chapter 5 / 5.2：
Spectral Sequences / 6：
Spectral Sequences of Double Complexes / 6.1：
The First Term / 6.2：
The Long Exact Sequence / 6.3：
Useful Facts for Doing Computations / 6.4：
Functorial Behavior / 6.4.1：
Gaps / 6.4.2：
Switching Rows and Columns / 6.4.3：
The Cartan Model as a Double Complex
HG (A) as an S(g*)G -Module
Morphisms of G* Modules
Restricting the Group
Bibliographical Notes for Chapter 6 / 6.5：
Fermionic Integration / 7：
Definition and Elementary Properties / 7.1：
Integration by Parts / 7.1.1：
Change of Variables / 7.1.2：
Gaussian Integrals / 7.1.3：
Iterated Integrals / 7.1.4：
The Fourier Transform / 7.1.5：
The Mathai-Quillen Construction
The Fourier Transform of the Koszul Complex / 7.2：
Bibliographical Notes for Chapter 7 / 7.3：
Characteristic Classes / 8：
Vector Bundles / 8.1：
The Invariants / 8.2：
G = U(n) / 8.2.1：
G = O(n) / 8.2.2：
G = SO(2n) / 8.2.3：
Relations Between the Invariants / 8.3：
Restriction from U(n) to O(n) / 8.3.1：
Restriction from SO(2n) to U(n) / 8.3.2：
Restriction from U(n) to U(k) × U(ℓ) / 8.3.3：
Symplectic Vector Bundles / 8.4：
Consistent Complex Structures / 8.4.1：
Characteristic Classes of Symplectic Vector Bundles / 8.4.2：
Equivariant Characteristic Classes / 8.5：
Equivariant Chern classes / 8.5.1：
Equivariant Characteristic Classes of a Vector Bundle Over a Point / 8.5.2：
Equivariant Characteristic Classes as Fixed Point Data / 8.5.3：
The Splitting Principle in Topology
Bibliographical Notes for Chapter 8
Equivariant Symplectic Forms / 9：
Equivariantly Closed Two-Forms / 9.1：
The Case M = G / 9.2：
Equivariantly Closed Two-Forms on Homogeneous Spaces / 9.3：
The Compact Case / 9.4：
Minimal Coupling / 9.5：
Symplectic Reduction / 9.6：
The Duistermaat-Heckman Theorem / 9.7：
The Cohomology Ring of Reduced Spaces / 9.8：
Flag Manifolds / 9.8.1：
Delzant Spaces / 9.8.2：
Reduction: The Linear Case / 9.8.3：
Equivariant Duistermaat-Heckman
Group Valued Moment Maps
The Canonical Equivariant Closed Three-Form on G / 9.10.1：
The Exponential Map / 9.10.2：
G-Valued Moment Maps on Hamiltonian G-Manifolds / 9.10.3：
Conjugacy Classes / 9.10.4：
Bibliographical Notes for Chapter 9 / 9.11：
The Thom Class and Localization / 10：
Fiber Integration of Equivariant Forms / 10.1：
The Equivariant Normal Bundle / 10.2：
Modifying ν / 10.3：
Verifying that τ is a Thom Form / 10.4：
The Thom Class and the Euler Class / 10.5：
The Fiber Integral on Cohomology / 10.6：
Push-Forward in General / 10.7：
Localization / 10.8：
The Localization for Torus Actions / 10.9：
Bibliographical Notes for Chapter 10 / 10.10：
The Abstract Localization Theorem / 11：
Relative Equivariant de Rham Theory / 11.1：
Mayer-Vietoris / 11.2：
S(g*) Modules / 11.3：
The Chang-Skjelbred Theorem / 11.4：
Some Consequences of Equivariant Formality / 11.6：
Two Dimensional G-Manifolds / 11.7：
A Theorem of Goresky-Kottwitz-Mac Pherson / 11.8：
Bibliographical Notes for Chapter 11 / 11.9：
Appendix
Notions d'algèbre différentielle; application aux groupes de Lie et aux variétés où opère un groupe de Lie / Henri Cartan
La transgression dans un groupe de Lie et dans un espace fibré principal
Bibliography
Index
Introduction
Equivariant Cohomology in Topology / 1：
Equivariant Cohomology via Classifying Bundles / 1.1：
15.
図書
Charles B. Thomas
16.
図書
Christian Grønbæk
17.
図書
Yuli B. Rudyak
18.
図書
Jean-Louis Loday
19.
図書
A.N. Parshin, I.R. Shafarevich (eds.)
目次情報:
Complex Algebraic Varieties
Periods of Integrals and Hodge Structures / Viktor S.Kulikov ; P.V.Kurchanov
Algebraic Curves and Their Jacobians / V.V.Shokurov
Complex Algebraic Varieties
Periods of Integrals and Hodge Structures / Viktor S.Kulikov ; P.V.Kurchanov
Algebraic Curves and Their Jacobians / V.V.Shokurov
20.
図書
Max-Albert Knus ... [et al.] ; with a preface by J. Tits
21.
図書
Hans-Joachim Baues
22.
図書
Pierre Deligne ... [et al.]
目次情報:
続きを見る
Hodge cycles on abelian varieties / P. Deligne
Tannakian categories / P. Deligne, J. Milne
Langlands's construction of the Taniyama group / J. Milne, K.-y. Shih
Motifs et groupe de Taniyama / P. Deligne
Conjugates of Shimura varieties / J. Milne and K.-y. Shih
Hodge cycles and crystalline cohomology / A. Ogus
Hodge cycles on abelian varieties / P. Deligne
Tannakian categories / P. Deligne, J. Milne
Langlands's construction of the Taniyama group / J. Milne, K.-y. Shih
23.
図書
Ib Madsen and Jørgen Tornehave
出版情報:
Cambridge ; New York : Cambridge University Press, 1997 vii, 286 p. ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Preface
Introduction / Chapter 1：
The Alternating Algebra / Chapter 2：
de Rham Cohomology / Chapter 3：
Chain Complexes and their Cohomology / Chapter 4：
The Mayer-Vietoris Sequence / Chapter 5：
Homotopy / Chapter 6：
Applications of de Rham Cohomology / Chapter 7：
Smooth Manifolds / Chapter 8：
Differential Forms on Smoth Manifolds / Chapter 9：
Integration on Manifolds / Chapter 10：
Degree, Linking Numbers and Index of Vector Fields / Chapter 11：
The Poincare-Hopf Theorem / Chapter 12：
Poincare Duality / Chapter 13：
The Complex Projective Space CP[superscript n] / Chapter 14：
Fiber Bundles and Vector Bundles / Chapter 15：
Operations on Vector Bundles and their Sections / Chapter 16：
Connections and Curvature / Chapter 17：
Characteristic Classes of Complex Vector Bundles / Chapter 18：
The Euler Class / Chapter 19：
Cohomology of Projective and Grassmannian Bundles / Chapter 20：
Thom Isomorphism and the General Gauss-Bonnet Formula / Chapter 21：
Smooth Partition of Unity / Appendix A：
Invariant Polynomials / Appendix B：
Proof of Lemmas 12.12 and 12.13 / Appendix C：
Exercises / Appendix D：
References
Index
The alternating algebra / 1：
De Rham cohomology / 3：
Chain complexes and their cohomology / 4：
The Mayer-Vietoris sequence / 5：
Applications of De Rham cohomology / 6：
Smooth manifolds / 8：
Differential forms on smooth manifolds / 9：
Integration on manifolds / 10：
Degree, linking numbers and index of vector fields / 11：
The Poincare-Hopf theorem / 12：
Poincare duality / 13：
The complex projective space CPn / 14：
Fiber bundles and vector bundles / 15：
Operations on vector bundles and their sections / 16：
Connections and curvature / 17：
Characteristic classes of complex vector bundles / 18：
The Euler class / 19：
Cohomology of projective and Grassmanian bundles / 20：
Thom isomorphism and the general Gauss-Bonnet formula / 21：
Preface
Introduction / Chapter 1：
The Alternating Algebra / Chapter 2：
24.
図書
J.F. Jardine
25.
図書
Allan M. Sinclair, Roger R. Smith
目次情報:
続きを見る
Preface
Introduction / 1：
Completely bounded operators / 2：
Derivations / 3：
Averaging in continuous and normal cohomology / 4：
Completely bounded / 5：
Hyperfinite subalgebras / 6：
Continuous cohomology / 7：
Stability of products / 8：
Appendix
Bibliography
Notation
Index
Preface
Introduction / 1：
Completely bounded operators / 2：
26.
図書
Anthony W. Knapp and David A. Vogan, Jr
27.
図書
Serge Lang
28.
図書
I.R. Shafarevich (ed.)
29.
図書
Annette Huber
30.
図書
Gregory Karpilovsky
目次情報:
続きを見る
Notation, Terminology, and Background Information / 1：
The Schur Multiplier: Foundations of the Theory / 2：
Schur Multiplier of p-Groups / 3：
Local Control / 4：
The 2-Component of M(G) / 5：
Regular and Wreath Products / 6：
Schur Multiplier of Some Particular Groups / 7：
Tables of Schur Multipliers of Individual Groups / 8：
Notation, Terminology, and Background Information / 1：
The Schur Multiplier: Foundations of the Theory / 2：
Schur Multiplier of p-Groups / 3：
31.
図書
Joseph Lipman
目次情報:
続きを見る
The residue homomorphism
Functorial properties
Quasi-regular sequences
Residues on algebraic varieties / Appendix A：
Exterior differentiation Trace and cotrace / Appendix B：
The residue homomorphism
Functorial properties
Quasi-regular sequences
32.
図書
J.S. Milne
目次情報:
続きを見る
Preface
Notations and Conventions
Galois Cohomology / Chapter I：
Preliminaries / 0：
Duality relative to a class formation / 1：
Local fields / 2：
Abelian varieties over local fields / 3：
Global fields / 4：
Global Euler-Poincare characteristics / 5：
Abelian varieties over global fields / 6：
An application to the conjecture of Birch and Swinnerton-Dyer / 7：
Abelian class field theory, in the sense of Langlands / 8：
Other applications / 9：
Class field theory for function fields / Appendix A：
Etale Cohomology / Chapter II：
Local results
Global results: preliminary calculations
Global results: the main theorem
Global results: complements
Global results: abelian schemes
Global results: singular schemes
Global results: higher dimensions
Flat Cohomology / Chapter III：
Local results: mixed characteristic, finite group schemes
Local results: mixed characteristic, abelian varieties
Global results: number field case
Local results: mixed characteristic, perfect residue field
Two exact sequences
Local fields of characteristic p
Local results: equicharacteristic
Global results: curves over finite fields, finite sheaves
Global results: curves over finite fields, Neron models
Local results: equicharacteristic, perfect residue field / 10：
Global results: curves over perfect fields / 11：
Embedding finite group schemes
Extending finite group schemes / Appendix B：
Biextensions and Neron models / Appendix C：
Bibliography
Index
Preface
Notations and Conventions
Galois Cohomology / Chapter I：
33.
図書
Peter Hilton ; course given at the University of São Paulo in the summer of 1968 under the auspices of the Instituto de Pesquisas Matemáticas, Universidade de São Paulo
目次情報:
続きを見る
General Cohomology Theories / 1：
Exact Couples and Spectral Sequences / 2：
The Generalized Atiyah-Hirzebruch Spectral Sequence / 3：
K- Theory / 4：
K-Theory, the Chern Character and the Hopf Invariant Problem / 5：
General Cohomology Theories / 1：
Exact Couples and Spectral Sequences / 2：
The Generalized Atiyah-Hirzebruch Spectral Sequence / 3：
34.
図書
Leonard Evens
目次情報:
続きを見る
Preliminaries / 1：
Explicit Resolutions / 2：
Products in Cohomology / 3：
Relations to Cohomology of Subgroups / 4：
Cohomology of Wreath Products / 5：
The Norm Map / 6：
Spectral Sequences / 7：
Varieties and Complexity / 8：
Stratification / 9：
Some Related Theorems / 10：
Preliminaries / 1：
Explicit Resolutions / 2：
Products in Cohomology / 3：
35.
図書
Hans Delfs
36.
図書
Jean-Louis Loday
37.
図書
by George E. Cooke and Ross L. Finney ; based on lectures by Norman E. Steenrod
38.
図書
[by] Glen E. Bredon
39.
図書
by A.Ya. Helemskii ; translated from the Russian by Alan West
40.
図書
Jan R. Strooker
目次情報:
続きを見る
Homological preliminaries / 1：
Adic topologies and completions / 2：
Injective envelopes and minimal injective resolutions / 3：
Local cohomology and koszul complexes / 4：
(Pre-) Regular sequences and depth / 5：
Exactness of complexes and linear equations over rings / 6：
Comparing homological invariants / 7：
Dimensions / 8：
Cohen-Macauley modules and regular rings / 9：
Gorenstein rings, local duality, and the direct summand conjecture / 10：
Frobenius and big Cohen-Macauley modules / 11：
Big Cohen-Macaulay modules in equal charecteristic 0 / 12：
Uses of big Cohen-Maculay Modules / 13：
Homological preliminaries / 1：
Adic topologies and completions / 2：
Injective envelopes and minimal injective resolutions / 3：
41.
図書
by Karl H[einrich] Hofmann and Paul S[tallings] Mostert ; with an appendix by Eric C. Nummela
出版情報:
Berlin : Deutsche Verl. de Wissenschaften, 1973 236 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
42.
図書
[by] Daniel E. Cohen
43.
図書
Frederick R. Cohen, Thomas J. Lada, J. Peter May
44.
図書
Richard M. Kane
出版情報:
Amsterdam ; Tokyo : North-Holland , New York, N.Y., U.S.A : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1988 xv, 479 p. ; 23 cm
シリーズ名:
North-Holland mathematical library ; v. 40
子書誌情報:
loading…
所蔵情報:
loading…
45.
図書
Stefaan Caenepeel, Freddy van Oystaeyen
目次情報:
続きを見る
Generalized Crossed Products Graded Ring
Theory Generalized Crossed Products Some Results on Commutative Graded Rings
Arithmetically Graded Rings Separability and Graded Galois Extensions Graded
Completion and Henselization The Join of gr-Henselian Rings
Graded Brauer Groups and the Crossed Product Theorems Graded
Faithfully Flat Descent Projective Graded Modules Grothendieck and Picard
Groups of Graded Rings Brauer Groups of Graded Rings Graded Cohomology Groups and the Crossed
Generalized Crossed Products Graded Ring
Theory Generalized Crossed Products Some Results on Commutative Graded Rings
Arithmetically Graded Rings Separability and Graded Galois Extensions Graded
46.
図書
Werner Greub, Stephen Halperin, and Ray Vanstone
47.
図書
Karl W. Gruenberg
48.
図書
Barry Mazur, William Messing
49.
図書
Donald Knutson
50.
図書
Wu Yi Hsiang
51.
図書
Izu Vaisman ; translation editor, Samuel I. Goldberg
52.
図書
Robert E. Mosher, Martin C. Tangora
53.
図書
lectures by N.E. Steenrod ; written and revised by D.B.A. Epstein
54.
図書
par Beno Eckmann
55.
図書
David E. Dobbs
56.
図書
Eldon Dyer
57.
図書
edited by Peter Hilton
58.
図書
Jean-Michel Lemaire
59.
図書
Kenneth S. Brown
60.
図書
William S. Massey
61.
図書
Eberhard Freitag, Reinhardt Kiehl ; with an historical introduction by J.A. Dieudonné
62.
図書
James W. Vick
63.
図書
C. Allday, V. Puppe
目次情報:
続きを見る
Preface
Equivariant cohomology of G-CW-complexes and the Borel construction / 1：
Summary of some aspects of rational homotopy theory / 2：
Localization / 3：
General results on torus and p-torus actions / 4：
Actions on Poincar duality spaces / 5：
commutative algebra / Appendix A：
some homotopy theory of differential modules / Appendix B：
References
Index
Index of notation
Preface
Equivariant cohomology of G-CW-complexes and the Borel construction / 1：
Summary of some aspects of rational homotopy theory / 2：
64.
図書
by Pierre Berthelot, Arthur Ogus
出版情報:
Princeton, N.J. : Princeton University Press, [20--] 1 v. ; 24 cm
シリーズ名:
Princeton legacy library
子書誌情報:
loading…
所蔵情報:
loading…
65.
図書
Tomasz Kaczynski, Konstantin Mischaikow, Marian Mrozek
66.
図書
David J. Green
67.
図書
by Jon F. Carlson ... [et al.]
目次情報:
続きを見る
Preface
Acknowledgements
Homological Algebra / 1：
Introduction
Complexes and Sequences / 2：
Projective and Injective Models / 3：
Resolutions / 4：
Ext / 5：
Tensor Products and Tor / 6：
Group Algebras
Duality and Tensor Products
Induction and Restriction
Radicals, Socles and Projective Modules
Degree Shifting
The Stable Category
Group Cohomology and Change of Coefficients / 7：
Projective Resolutions
Minimal Resolutions
The Bar Resolution
Applications to Low Dimensional Cohomology
Restrictions, Inflations and Transfers
Cohomology Products
Yoneda Splices and Compositions of Chain Maps
Products and Group Algebras
Restriction, Inflation and Transfer
Cohomology Ring Computations
Shifted Subgroups and Restrictions
Automorphisms and Cohomology
Spectral Sequences
The Spectral Sequence of a Biocomplex
Products
The Lyndon-Hochschild-Serre Spectral Sequence
Extension Classes
Minimal Resolutions and Convergence
Exact Couples and the Bockstein Spectral Sequence
Norms and the Cohomology of Wreath Products
Wreath Products
The Norm Map
Examples and Applications
Finite Generation of Cohomology
Steenrod Operations
The Steenrod Algebra and Modules
The Steenrod Operations on Cohomology
Cohomology and Modules Over the Steenrod Algebra
The Cohomology of Extraspecial 2-Groups
The Cohomology of Extraspecial p-Groups
Serre's Theorem on the Vanishing of Bocksteins
Varieties and Elementary Abelian Subgroups / 8：
Filtrations on Modules
Vanishing Products of Cohomology Elements
Minimal Primes in Cohomology Rings
The Stratification Theorem
Cohomology Rings of Modules / 9：
Generalized Bocksteins Over Elementary Abelian Groups
Rank Varieties and Cohomology Rings Over Elementary Abelian Groups
The Cohomological Support Variety of a Module
Equating the Rank and Cohomological Support Varieties
The Tensor Product Theorem
Properties of the Cohomological Support Varieties
Complexity and Multiple Complexes / 10：
Notes on Dimension and Rates of Growth
Complexity of Modules
Varieties for Modules with Other Coefficient Rings
Projective Resolutions as Multiple Complexes
Duality Complexes / 11：
Gaps in Cohomology
PoincarF Duality Complexes
Differentials in the HSS
Cohen Macaulay Cohomology Rings
Further Considerations
Transfers, Depth and Detection / 12：
Notes on Depth and Associated Primes
Depth and the p-Rank of the Center
Varieties and Transfers
Detection and Depth-Essential Cohomology
Special Cases
Associated Primes in Cohomology
Unstable Modules
Subgroup Complexes / 13：
Posets of Subgroups and Cell Complexes
Homotopy Equivalences and Equivariance
Complexes of Posets of Finite Groups
The Bouc Complex
Applications to Cohomology
Decompositions of Molecules
Additional Remarks
Cohomology Compositions
Computer Calculations and Completion Tests / 14：
The Visual Cohomology Ring: Generators and Relations
Resolutions, Maps and Homogeneous Parameters
Tests for Completion
Two Special Cases
Appendices: Calculations of the Cohomology Rings of Groups of Order Dividing 64 / J.F. Carlson ; L. Valero-Elizondo ; Mucheng Zhang
Notation and References / A：
Groups of Order 8 / B：
Groups of Order 16 / C：
Groups of Order 32 / D：
Groups of Order 64 / E：
Tables of Krull Dimension and Depth / F：
Tables of Hilbert/PoincarF Series / G：
References
Index
Preface
Acknowledgements
Homological Algebra / 1：
68.
図書
John R. Harper
目次情報:
続きを見る
Review of primary operations
Segue to secondary operations
Fundamental constructions
Secondary cohomology operations
Calculations with secondary operations
The Hopf invariant
The cohomology structure of universal examples
Bibliography
Index
Review of primary operations
Segue to secondary operations
Fundamental constructions
69.
図書
Reinhardt Kiehl, Rainer Weissauer
70.
図書
Kevin P. Knudson
71.
図書
Bernard Le Stum
目次情報:
続きを見る
Preface
Introduction / 1：
Alice and Bob / 1.1：
Complexity / 1.2：
Weil conjectures / 1.3：
Zeta functions / 1.4：
Arithmetic cohomology / 1.5：
Bloch-Ogus cohomology / 1.6：
Frobenius on rigid cohomology / 1.7：
Slopes of Frobenius / 1.8：
The coefficients question / 1.9：
F-isocrystals / 1.10：
Tubes / 2：
Some rigid geometry / 2.1：
Tubes of radius one / 2.2：
Tubes of smaller radius / 2.3：
Strict neighborhoods / 3：
Frames / 3.1：
Frames and tubes / 3.2：
Strict neighborhoods and tubes / 3.3：
Standard neighborhoods / 3.4：
Calculus / 4：
Calculus in rigid analytic geometry / 4.1：
Examples / 4.2：
Calculus on strict neighborhoods / 4.3：
Radius of convergence / 4.4：
Overconvergent sheaves / 5：
Overconvergent sections / 5.1：
Overconvergence and abelian sheaves / 5.2：
Dagger modules / 5.3：
Coherent dagger modules / 5.4：
Overconvergent calculus / 6：
Stratifications and overconvergence / 6.1：
Cohomology / 6.2：
Cohomology with support in a closed subset / 6.3：
Cohomology with compact support / 6.4：
Comparison theorems / 6.5：
Overconvergent isocrystals / 7：
Overconvergent isocrystals on a frame / 7.1：
Overconvergence and calculus / 7.2：
Virtual frames / 7.3：
Cohomology of virtual frames / 7.4：
Rigid cohomology / 8：
Overconvergent isocrystal on an algebraic variety / 8.1：
Frobenius action / 8.2：
Conclusion / 9：
A brief history / 9.1：
Crystalline cohomology / 9.2：
Alterations and applications / 9.3：
The Crew conjecture / 9.4：
Kedlaya's methods / 9.5：
Arithmetic D-modules / 9.6：
Log poles / 9.7：
References
Index
Preface
Introduction / 1：
Alice and Bob / 1.1：
72.
図書
Laurent Manivel ; translated by John R. Swallow
出版情報:
Providence, R.I. : American Mathematical Society , [Paris] : Société Mathématique de France, c2001 vii, 167 p. ; 26 cm
シリーズ名:
SMF/AMS texts and monographs ; v. 6
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Introduction
The ring of symmetric functions
Schubert polynomials
Schubert varieties A brief Introduction to singular homology
Bibliography
Index
Introduction
The ring of symmetric functions
Schubert polynomials
73.
図書
by James W. Vick
74.
図書
Sze-Tsen Hu
75.
図書
Jerzy Weyman
目次情報:
続きを見る
Introduction / 1：
Schur functions and Schur complexes / 2：
Grassmannians and flag varieties / 3：
Bott's theorem / 4：
The geometric technique / 5：
The determinantal varieties / 6：
Higher rank varieties / 7：
The nilpotent orbit closures / 8：
Resultants and discriminants / 9：
Introduction / 1：
Schur functions and Schur complexes / 2：
Grassmannians and flag varieties / 3：
76.
図書
Matthias Schwarz
77.
図書
by Eric M. Friedlander
78.
図書
J.T. Schwartz ; notes by Adil Naoum and Joseph Roitberg
79.
図書
Carlo Mazza, Vladimir Voevodsky, Charles A. Weibel
出版情報:
Providence, RI : American Mathematical Society , Cambridge, MA : Clay Mathematics Institute, c2006 xiv, 216 p. ; 27 cm
シリーズ名:
Clay mathematics monographs ; v. 2
子書誌情報:
loading…
所蔵情報:
loading…
80.
図書
Marco Grandis
出版情報:
Singapore : World Scientific, c2021 xi, 377 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
81.
図書
Edwin Weiss
82.
図書
Burt Totaro
83.
図書
P. Gabriel and M. Zisman
84.
図書
Robin Hartshorne
85.
図書
Werner Greub, Stephen Halperin, and Ray Vanstone
86.
図書
W. Greub, Stephen Halperin, and Ray Vanstone
87.
図書
Jean Giraud
88.
図書
[edited] by Richard S. Palais ; with contributions by M.F. Atiyah ... [et al.]
89.
図書
William S. Massey
90.
図書
J.S. Milne
91.
図書
by W.S. Massey and F.P. Peterson
92.
図書
Robert M. Switzer
93.
図書
Alejandro Adem, R. James Milgram
94.
図書
Jean-Pierre Serre
図書
