The homology of path spaces and Floer homology with conormal boundary conditions

Alberto Abbondandolo, Alessandro Portaluri, and Matthias Schwarz

Contact the author: Please use for correspondence this email.
Submission date: 24. Sep. 2008
Pages: 25
published in: Journal of fixed point theory and applications, 4 (2008) 2, p. 263-293 
DOI number (of the published article): 10.1007/s11784-00 -0097-y
Bibtex
MSC-Numbers: 53D40, 57R58
Download full preprint: PDF (315 kB)

Abstract:
We define the Floer complex for Hamiltonian orbits on the cotangent bundle of a compact manifold satisfying 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 condition.