
Open access
Date
2006Type
- Journal Article
ETH Bibliography
yes
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Abstract
We study the heat flow in the loop space of a closed Riemannian manifold M as an adiabatic limit of the Floer equations in the cotangent bundle. Our main application is a proof that the Floer homology of the cotangent bundle, for the Hamiltonian function kinetic plus potential energy, is naturally isomorphic to the homology of the loop space. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000012417Publication status
publishedExternal links
Journal / series
Geometric and Functional AnalysisVolume
Pages / Article No.
Publisher
BirkhäuserSubject
Floer homology; heat equation; Morse theoryOrganisational unit
03513 - Salamon, Dietmar (emeritus)
Notes
It was possible to publish this article open access thanks to a Swiss National Licence with the publisherMore
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ETH Bibliography
yes
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