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Hofer-Zehnder capacity of standard cotangent bundles

Leonardo Macarini
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Abstract

Let $M$ be a compact manifold with an effective semi-free circle action whose fixed point set has trivial normal bundle. We prove that its cotangent bundle endowed with the canonical symplectic form has bounded Hofer-Zehnder sensitive capacity. We give several examples like the product of any compact manifold with $§^n$ or a connected sum $\CP^n # ... # \CP^n$.

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Leonardo Macarini. 2003-08-18. Hofer-Zehnder capacity of standard cotangent bundles. https://arxiv.org/abs/math/0308174

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