Floer homology on the time-energy extended phase space

TL;DR

This paper demonstrates that Rabinowitz Floer homology can be interpreted as a standard Floer homology for fixed period Hamiltonian orbits within an extended phase space, providing a new perspective on Floer homology.

Contribution

It introduces a novel interpretation of Rabinowitz Floer homology as a standard Floer homology on an extended phase space, linking two frameworks.

Findings

Rabinowitz Floer homology corresponds to Floer homology on extended phase space.

Provides a new geometric perspective on Floer homology theories.

Bridges fixed period Hamiltonian orbits with extended phase space analysis.

Abstract

We show how Rabinowitz Floer homology can be seen as a standard Floer homology for fixed period Hamiltonian orbits on an extended phase space.