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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Author information
Authors and Affiliations
Corresponding author
Additional information
Dedicated to Felix E. Browder
Rights and permissions
About this article
Cite this article
Abbondandolo, A., Portaluri, A. & Schwarz, M. The homology of path spaces and Floer homology with conormal boundary conditions. J. fixed point theory appl. 4, 263–293 (2008). https://doi.org/10.1007/s11784-008-0097-y
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11784-008-0097-y