Search

MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 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.

MiS Preprint
61/2008

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

Alberto Abbondandolo, Alessandro Portaluri and Matthias Schwarz

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 condition.

Received:
Sep 24, 2008
Published:
Sep 25, 2008
MSC Codes:
53D40, 57R58

Related publications

inJournal
2008 Repository Open Access
Alberto Abbondandolo, Alessandro Portaluri and Matthias Schwarz

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

In: Journal of fixed point theory and applications, 4 (2008) 2, pp. 263-293