| Description |
1 online resource (v, 114 pages) : illustrations |
| Series |
Memoirs of the American Mathematical Society, 0065-9266 ; number 1080 |
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Memoirs of the American Mathematical Society ; no. 1080
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| Contents |
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 |
| Summary |
We 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. Our proof uses a formula for the Viterbo-Maslov index for a smooth lune in a 2-manifold |
| Notes |
"Volume 230, number 1080 (second of 5 numbers), July 2014." |
| Bibliography |
Includes bibliographical references (pages 111-112) and index |
| Notes |
Print version record |
| Subject |
Floer homology.
|
|
Floer homology.
|
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MATHEMATICS -- Geometry -- General.
|
| Form |
Electronic book
|
| Author |
Robbin, Joel W., author.
|
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Salamon, D. (Dietmar), author.
|
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American Mathematical Society, publisher.
|
| ISBN |
1470416700 |
|
9781470416706 |
|
