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

Alberto Abbondandolo, Alessandro Portaluri, Matthias Schwarz

Research output: Contribution to journalArticlepeer-review

Abstract

We define the Floer complex for Hamiltonian orbits on the cotangent bundle of a compact manifold which satisfy 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 conditions.

Original languageEnglish (US)
Pages (from-to)263-293
Number of pages31
JournalJournal of Fixed Point Theory and Applications
Volume4
Issue number2
DOIs
StatePublished - Dec 2008

Keywords

  • Conormal bundle
  • Cotangent bundle
  • Floer homology
  • Maslov index
  • Path space

ASJC Scopus subject areas

  • Modeling and Simulation
  • Geometry and Topology
  • Applied Mathematics

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