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arXiv · 1205.0533

Combinatorial Floer Homology

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.

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Vin de Silva, Joel Robbin, Dietmar Salamon. 2013-02-07. Combinatorial Floer Homology. https://arxiv.org/abs/1205.0533

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