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1.

図書

図書
Joachim Kock, Israel Vainsencher
出版情報: Boston : Birkhäuser, c2007  xii, 159 p. ; 25 cm
シリーズ名: Progress in mathematics ; v. 249
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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

図書
J.F. Adams
出版情報: Chicago : University of Chicago Press, 1974  x, 373 p. ; 21 cm
シリーズ名: Chicago lectures in mathematics
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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

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
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4.

図書

図書
A. Borel, et al.
出版情報: Boston : Birkhäuser, 1984  x, 238 p. ; 23 cm
シリーズ名: Progress in mathematics ; v. 50. Swiss seminars
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5.

図書

図書
Constantin Bănică and Octavian Stănășilă
出版情報: Bucuresti : Editura Academiei , London ; New York : Wiley, 1976  296 p. ; 25 cm
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6.

図書

図書
[edited] by Richard S. Palais ; with contributions by M.F. Atiyah ... [et al.]
出版情報: Princeton, N.J. : Princeton University Press, 1965  x, 366 p. ; 23 cm
シリーズ名: Annals of mathematics studies ; 57
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7.

図書

図書
Jean-Pierre Serre
出版情報: Paris : Hermann, 1962  243 p. ; 24 cm
シリーズ名: Publications de l'Institut de mathématique de l'Université de Nancago ; 8
Actualités scientifiques et industrielles ; 1296
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8.

図書

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
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9.

図書

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
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10.

図書

図書
Yuri I. Manin
出版情報: Providence, R.I. : American Mathematical Society, c1999  xiii, 303 p. ; 27 cm
シリーズ名: Colloquium publications / American Mathematical Society ; v. 47
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