Floer homology and the heat flow
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Author / Producer
Date
2006
Publication Type
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.
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published
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Journal / series
Volume
16 (5)
Pages / Article No.
1050 - 1138
Publisher
Birkhäuser
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Edition / version
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Software
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Date collected
Date created
Subject
Floer homology; heat equation; Morse theory
Organisational unit
03513 - Salamon, Dietmar (emeritus)
Notes
It was possible to publish this article open access thanks to a Swiss National Licence with the publisher