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.
| ISBN: | 9780821898864 |
| Publication date: | 30th June 2014 |
| Author: | Vin De Silva, Joel W Robbin, D Salamon |
| Publisher: | American Mathematical Society |
| Format: | Paperback |
| Pagination: | 114 pages |
| Series: | Memoirs of the American Mathematical Society |
| Genres: |
Geometry Topology |