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.
Original language | English (US) |
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Pages (from-to) | 263-293 |
Number of pages | 31 |
Journal | Journal of Fixed Point Theory and Applications |
Volume | 4 |
Issue number | 2 |
DOIs | |
State | Published - Dec 2008 |
Keywords
- Conormal bundle
- Cotangent bundle
- Floer homology
- Maslov index
- Path space
ASJC Scopus subject areas
- Modeling and Simulation
- Geometry and Topology
- Applied Mathematics