1. Dipartimento di Matematica, Università di Pisa, Largo Bruno Pontecorvo 5, 56127, Pisa, Italy 2. Dipartimento di Matematica e Applicazioni, Università di Milano Bicocca, Via Cozzi, 53, 20125, Milano, Italy
Abstract:
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. Dedicated to Felix E. Browder