Combinatorial Floer Homology
Symplectic Geometry
2015-03-20 v3
Abstract
We define combinatorial Floer homology of a transverse pair of noncontractibe 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.
Keywords
Cite
@article{arxiv.1205.0533,
title = {Combinatorial Floer Homology},
author = {Vin de Silva and Joel Robbin and Dietmar Salamon},
journal= {arXiv preprint arXiv:1205.0533},
year = {2015}
}
Comments
Final version. 125 pages, 29 figures. Memoirs of the AMS