Combinatorial Floer Homology (Memoirs of the American Mathematical Society)

About the Author Vin de Silva, Pomona College, Claremont, CA.Joel W. Robbin, University of Wisconsin, Madison, WI.Dietmar A. Salamon, ETH Zurich, Switzerland. Product 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.