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arXiv · 0810.1977

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

Alberto Abbondandolo·Alessandro Portaluri·Matthias Schwarz
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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 conditions.

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Alberto Abbondandolo, Alessandro Portaluri, Matthias Schwarz. 2008-12-23. The homology of path spaces and Floer homology with conormal boundary conditions. https://arxiv.org/abs/0810.1977

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