Combinatorial Floer Homology

(Memoirs of the American Mathematical Society)

5bdb8f5aaaf74.jpg Author Dietmar A. Salamon, Joel W. Robbin, and Vin de Silva
Isbn 9780821898864
File size 822.37KB
Year 2014
Pages 114
Language English
File format PDF
Category Mathematics

Book 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.



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