J-holomorphic curves and symplectic topology / Dusa McDuff, Dietmar Salamon

Auteur principal : McDuff, Dusa Waddington, 1945-, AuteurCo-auteur : Salamon, Dietmar, 1953-, AuteurType de document : MonographieCollection : Colloquium publications, 52Langue : anglais.Pays: Etats Unis.Éditeur : Providence : American Mathematical Society, 2004Description : 1 vol. (xii-669 p.) : fig. ; 26 cmISBN: 9780821834855.ISSN: 0065-9258.Bibliographie : Bibliogr. p. [643]-653. Index.Sujet MSC : 53D05, Differential geometry - Symplectic geometry, contact geometry, Symplectic manifolds, general
53D45, Differential geometry - Symplectic geometry, contact geometry, Gromov-Witten invariants, quantum cohomology, Frobenius manifolds
53D35, Differential geometry - Symplectic geometry, contact geometry, Global theory
57R17, Manifolds and cell complexes - Differential topology, Symplectic and contact topology in high or arbitrary dimension
37J06, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, General theory, Hamiltonian and Lagrangian structures, symmetries, invariants
En-ligne : Zentralblatt | MathSciNet Item type: Monographie
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Bibliogr. p. [643]-653. Index

... The material is divided into twelve chapters (namely: introduction, J-holomorphic curves, Moduli spaces and transversality, compactness, stable maps, moduli spaces of stable maps, Gromov-Witten invariants, Hamiltonian perturbations, applications in symplectic topology, gluing, quantum cohomology, Floer homology), five appendices (namely: Fredholm theory, elliptic regularity, the Riemann-Roch theory, stable curves of genus zero, singularities and intersections) and a bibliography with 314 titles.

Written by two top specialists on this topic, it will be useful to all those interested in this fascinating domain. (Zentralblatt)

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