The homology of path spaces and Floer homology with conormal boundary conditions. (English) Zbl 1171.53344
Summary: We define the Floer complex for Hamiltonian orbits on the cotangent bundle of a compact manifold which satisfy non-local conormal boundary conditions. We prove that the homology of this chain complex is isomorphic to the singular homology of the natural path space associated to the boundary conditions.
MSC:
53D40 | Symplectic aspects of Floer homology and cohomology |
53D12 | Lagrangian submanifolds; Maslov index |
57R58 | Floer homology |