Combinatorial Floer Homology
Author： Vin de Silva;Joel W. Robbin;Dietmar A. Salamon
Publisher： American Mathematical Society
Publication year： 2014
E-ISBN: 9781470416706
P-ISBN(Paperback): 9780821898864
P-ISBN(Hardback): 9780821898864
Subject： O18 geometric topology
Keyword： Geometry and Topology
Language： ENG
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Combinatorial Floer Homology
Description
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.