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

@inproceedings{Abbondandolo2008TheHO,
  title={The homology of path spaces and Floer homology with conormal boundary conditions},
  author={Alberto Abbondandolo and Alessandro Portaluri and Matthias Schwarz},
  year={2008}
}
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. Introduction Let H : [0, 1] × T M → R be a smooth time-dependent Hamiltonian on the cotangent bundle of a compact manifold M , and let XH be the Hamiltonian vector field induced by H and by the… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-10 of 18 references

On the Morse index in variational calculus

  • J. J. Duistermaat
  • Advances in Math., 21:173–195
  • 1976
Highly Influential
7 Excerpts

Maslov index theory for paths

  • J. Robbin, D. Salamon
  • Topology, 32:827–844
  • 1993
Highly Influential
4 Excerpts

Lagrangian intersection Floer theory - anomaly and obstruction - Chapter 9

  • K. Fukaya, Y.-G. Oh, K. Ono, H. Ohta
  • Preprint available on K. Fukaya’s homepage
  • 2007
1 Excerpt

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