Finiteness of $\pi_1$-sensitive Hofer-Zehnder capacity and equivariant loop space homology

Andrei Pajitnov; Urs Frauenfelder

arxiv: 1603.05793 · v1 · pith:Z3LW4SC4new · submitted 2016-03-18 · 🧮 math.SG · math.AT· math.DG

Finiteness of π₁-sensitive Hofer-Zehnder capacity and equivariant loop space homology

Urs Frauenfelder , Andrei Pajitnov This is my paper

classification 🧮 math.SG math.ATmath.DG

keywords bundlecapacityhofer-zehnderclosedconnectedcotangentdiskequivariant

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We prove that if M is a closed, connected, oriented, rationally inessential manifold, then the Hofer-Zehnder capacity of the unit disk bundle of the cotangent bundle of M is finite.

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Finiteness of π₁-sensitive Hofer-Zehnder capacity and equivariant loop space homology

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