Skip to main content
Log in

Floer Homology and the Heat Flow

  • Published:
Geometric & Functional Analysis GAFA Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to D. A. Salamon.

Additional information

J.W. received partial financial support from TH-Projekt 00321.

Received: December 2004 Revision: September 2005 Accepted: September 2005

Rights and permissions

Reprints and permissions

About this article

Cite this article

Salamon, D.A., Weber, J. Floer Homology and the Heat Flow. GAFA, Geom. funct. anal. 16, 1050–1138 (2006). https://doi.org/10.1007/s00039-006-0577-4

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00039-006-0577-4

Keywords and phrases:

AMS Mathematics Subject Classification:

Navigation