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Combinatorial Floer Homology(English, Paperback, Silva Vin de) is written by Silva Vin de and published by American Mathematical Society. It's available with International Standard Book Number or ISBN identification 0821898868 (ISBN 10) and 9780821898864 (ISBN 13).
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.