Combinatorial Floer homology / Vin de Silva, Joel W. Robbin and Dietmar A. Salamon.

By:

De Silva, Vin

Contributor(s):

Material type: Text

TextSeries: Memoirs of the American Mathematical Society ; v 230, no 1080.Publication details: Providence : American Mathematical Society, c2014.Description: v, 114 p. : illustrations ; 26 cmISBN:

9780821898864 (alk. paper)

Subject(s):

Floer homology

DDC classification:

510 23 Am512

Contents:

1. Introduction -- Part I: The Viterbo-Maslov Index -- Part II: Combinatorial lunes -- Part III: Floer homology -- Appendix A: The space of paths -- Appendix B: Diffeomorphisms of the half disc -- Appendix C: Homological algebra -- Appendix D: Asymptotic behavior of holomorphic strips-- Bibliography-- Index.

Summary: 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.

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Item type	Current library	Call number	Status	Date due	Barcode	Item holds
Books	ISI Library, Kolkata	510 Am512 (Browse shelf(Opens below))	Available		135901

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"Volume 230, number 1080 (second of 5 numbers), July 2014"

Includes bibliographical references and index.

1. Introduction --
Part I: The Viterbo-Maslov Index --
Part II: Combinatorial lunes --
Part III: Floer homology --
Appendix A: The space of paths --
Appendix B: Diffeomorphisms of the half disc --
Appendix C: Homological algebra --
Appendix D: Asymptotic behavior of holomorphic strips--
Bibliography--
Index.

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.

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