Preprint 61/2008

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

Alberto Abbondandolo, Alessandro Portaluri, and Matthias Schwarz

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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
MSC-Numbers: 53D40, 57R58
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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.

18.10.2019, 02:14