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arXiv 2008-10-13 0 views

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

Abbondandolo, Alberto · Portaluri, Alessandro · Schwarz, Matthias

Original · EN

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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