Hofer-Zehnder capacity of unit disk cotangent bundles and the loop product

Abstract

We prove the finiteness of the Hofer-Zehnder capacity of unit disk cotangent bundles of closed Riemannian manifolds, under some simple topological assumptions on the manifolds. The key ingredient of the proof is a computation of the pair-of-pants product on Floer homology of cotangent bundles. We reduce it to a simple computation of the loop product, making use of results of A.Abbondandolo- M.Schwarz.

arXiv comment28 pages

References in corpus (1)

• Functors and Computations in Floer homology with Applications Part II

Cited by in corpus (1)

• Hofer-Zehnder capacity and a Hamiltonian circle action with noncontractible orbits