Combinatorial Floer Homology

Häftad, Engelska, 2014

Av Vin de Silva, Joel W. Robbin, Dietmar A. Salamon

1 189 kr

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The authors define combinatorial Floer homology of a transverse pair of noncontractible nonisotopic embedded loops in an oriented 2-manifold without boundary, prove that it is invariant under isotopy, and prove that it is isomorphic to the original Lagrangian Floer homology. Their proof uses a formula for the Viterbo-Maslov index for a smooth lune in a 2-manifold.

Produktinformation

Utgivningsdatum2014-06-30
Mått178 x 254 x undefined mm
Vikt200 g
FormatHäftad
SpråkEngelska
SerieMemoirs of the American Mathematical Society
FörlagAmerican Mathematical Society
ISBN9780821898864

Tillhör följande kategorier

Matematik inom Naturvetenskap och teknik
Topologi inom Naturvetenskap och teknik

IntroductionPart I. The Viterbo-MaslovIndex: Chains and tracesThe Maslov indexThe simply connected caseThe Non simply connected casePart II. Combinatorial Lunes: Lunes and tracesArcs Combinatorial lunesPart III. Floer Homology: Combinatorial Floer homologyHearts Invariance under isotopyLunes and holomorphic stripsFurther developmentsAppendices: Appendix A.The space of pathsAppendix B. Diffeomorphisms of the half discAppendix C. Homological algebraAppendix D. Asymptotic behavior of holomorphic stripsBibliographyIndex