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

Mathematics – Symplectic Geometry

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25 pages, final version

Scientific paper

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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