close
1.

図書

図書
Yakov Eliashberg, Boris Khesin, François Lalonde, editors
出版情報: Providence : American Mathematical Society, c2003  vi, 199 p. ; 26 cm
シリーズ名: Fields Institute communications ; 35
所蔵情報: loading…
2.

図書

図書
edited by Jacques Hurtubise and François Lalonde ; technical editor, Gert Sabidussi
出版情報: Dordrecht : Kluwer Academic Publishers, c1997  xvii, 212 p. ; 25 cm
シリーズ名: NATO ASI series ; ser. C . Mathematical and physical sciences ; v. 488
所蔵情報: loading…
3.

図書

図書
François Lalonde, editor
出版情報: Providence, R.I. : American Mathematical Society, c1998  viii, 148 p. ; 26 cm
シリーズ名: CRM proceedings & lecture notes ; v. 15
所蔵情報: loading…
目次情報: 続きを見る
Isomorphisms between classical diffeomorphism groups / A. Banyaga
Classification of topologically trivial Legendrian knots / Y. Eliashberg ; M. J. Fraser
Contact structures on 7-manifolds / H. Geiges ; C. B. Thomas
On the flux conjectures / F. Lalonde ; D. McDuff ; L. Polterovich
About the bubbling off phenomenon in the limit of a sequence of $J$-curves / V. Lizan
Symplectic resolution of isolated algebraic singularities / J. D. McCarthy ; J. G. Wolfson
Generating functions versus action functional-stable Morse theory versus Floer theory / D. Milinkovic ; Y.-G. Oh.
Scalar curvature rigidity of certain symmetric spaces / M. Min-oo
Bi-invariant metrics for symplectic twist mappings on $boldsymbol{T}^* \mathbb{T}^n$ and an application in Aubry-Mather theory / K. F. Siburg
Isomorphisms between classical diffeomorphism groups / A. Banyaga
Classification of topologically trivial Legendrian knots / Y. Eliashberg ; M. J. Fraser
Contact structures on 7-manifolds / H. Geiges ; C. B. Thomas
4.

図書

図書
edited by Paul Biran, Octav Cornea and François Lalonde
出版情報: Dordrecht : Springer, c2006  xiv, 462 p. ; 25 cm
シリーズ名: NATO science series ; ser. 2 . Mathematics, physics and chemistry ; v. 217
所蔵情報: loading…
目次情報: 続きを見る
Preface
Contributors
Lectures on the Morse Complex for Infinite-Dimensional Manifolds / A. Abbondandolo ; P. Majer
A few facts from hyperbolic dynamics / 1:
Adapted norms / 1.1:
Linear stable and unstable spaces of an asymptotically hyperbolic path / 1.2:
Morse vector fields / 1.3:
Local dynamics near a hyperbolic rest point / 1.4:
Local stable and unstable manifolds / 1.5:
The Grobman - Hartman linearization theorem / 1.6:
Global stable and unstable manifolds / 1.7:
The Morse complex in the case of finite Morse indices / 2:
The Palais - Smale condition / 2.1:
The Morse - Smale condition / 2.2:
The assumptions / 2.3:
Forward compactness / 2.4:
Consequences of compactness and transversality / 2.5:
Cellular filtrations / 2.6:
The Morse complex / 2.7:
Representation of delta in terms of intersection numbers / 2.8:
How to remove the assumption (A8) / 2.9:
Morse functions on Hilbert manifolds / 2.10:
Basic results in transversality theory / 2.11:
Genericity of the Morse - Smale condition / 2.12:
Invariance of the Morse complex / 2.13:
The Morse complex in the case of infinite Morse indices / 3:
The program / 3.1:
Fredholm pairs and compact perturbations of linear subspaces / 3.2:
Finite-dimensional intersections / 3.3:
Essential subbundles / 3.4:
Orientations / 3.5:
Compactness / 3.6:
Two-dimensional intersections / 3.7:
Bibliographical note / 3.8:
Notes on Floer Homology and Loop Space Homology / M. Schwarz
Introduction
Main result
Loop space homology
Floer homology for the cotangent bundle
Ring structures and ring-homomorphisms
The pair-of-pants product
The ring homomorphisms between free loop space Floer homology and based loop space Floer homology and classical homology
Morse-homology on the loop spaces Lambda and Omega, and the isomorphism / 4:
Products in Morse-homology / 5:
Ring isomorphism between Morse homology and Floer homology.- Homotopical Dynamics in Symplectic Topology / J.-F. Barraud ; O. Cornea5.1:
Elements of Morse theory
Connecting manifolds
Operations
Applications to symplectic topology
Bounded orbits
Detection of pseudoholomorphic strips and Hofer's norm.- Morse Theory, Graphs, and String Topology / R. L. Cohen
Graphs, Morse theory, and cohomology operations
String topology
A Morse theoretic view of string topology
Cylindrical holomorphic curves in the cotangent bundle.- Topology of Robot Motion Planning / M. Farber
First examples of configuration spaces
Varieties of polygonal linkages
Short and long subsets
PoincarF polynomial of M(a)
Universality theorems for configuration spaces
A remark about configuration spaces in robotics
The motion planning problem / 6:
Tame motion planning algorithms / 7:
The Schwarz genus / 8:
The second notion of topological complexity / 9:
Homotopy invariance / 10:
Order of instability of a motion planning algorithm / 11:
Random motion planningalgorithms / 12:
Equality theorem / 13:
An upper bound for TC(X) / 14:
A cohomological lower bound for TC(X) / 15:
Examples / 16:
Simultaneous control of many systems / 17:
Another inequality relating TC(X) to the usual category / 18:
Topological complexity of bouquets / 19:
A general recipe to construct a motion planning algorithm / 20:
How difficult is to avoid collisions in $ mathbb{R}$m? / 21:
The case m = 2 / 22:
TC(F($ mathbb{R}$m; n) in the case m $ geq$ 3 odd / 23:
Shade / 24:
Illuminating the complement of the braid arrangement / 25:
A quadratic motion planning algorithm in F($ mathbb{R}$m; n) / 26:
Configuration spaces of graphs / 27:
Motion planning in projective spaces / 28:
Nonsingular maps / 29:
TC(($ mathbb{R}$Pn) and the immersion problem / 30:
Some open problems.- Application of Floer Homology of Langrangian Submanifolds to Symplectic Topology / K. Fukaya31:
Lagrangian submanifold of $ mathbb{C}$n
Perturbing Cauchy - Riemann equation
Maslov index of Lagrangian submanifold with vanishing second Betti number
Floer ho
Preface
Contributors
Lectures on the Morse Complex for Infinite-Dimensional Manifolds / A. Abbondandolo ; P. Majer
文献の複写および貸借の依頼を行う
 文献複写・貸借依頼