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We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
The homology of path spaces and Floer homology with conormal boundary conditions
Alberto Abbondandolo, Alessandro Portaluri and Matthias SchwarzAbstract
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.
- Received:
- 24.09.08
- Published:
- 25.09.08
- MSC Codes:
- 53D40, 57R58