Combinatorial Floer Homology

2012/05/02 by Vin de Silva, de Silva, Vin, Joel Robbin +3 · 1 citation
Mathematics · #53D40 #FOS: Mathematics #Symplectic Geometry (math.SG) #math.SG #msc:53D40

paper · pdf · doi:10.48550/arxiv.1205.0533

Final version. 125 pages, 29 figures. Memoirs of the AMS

arxiv created 2013/02/07 · arxiv updated 2015/03/19

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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• The instanton homology of the (-2,3,q) pretzel knots and computed bounding cochains in the pillowcase

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