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

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

2011-10-11

arxiv.org/abs/1110.2244v1

Mathematics

Symplectic Geometry

28 pages

Scientific paper

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.

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