The authors define combinatorial Floer homology of a transverse pair of
noncontractible nonisotopic embedded loops in an oriented
-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
-manifold.
The authors define combinatorial Floer homology of a transverse pair of
noncontractible nonisotopic embedded loops in an oriented -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 ...