Hofer-Zehnder capacity of standard cotangent bundles

Details Hofer-Zehnder capacity of standard cotangent bundles Hofer-Zehnder capacity of standard cotangent bundles

2003-08-18

arxiv.org/abs/math/0308174v1

Mathematics

Symplectic Geometry

Latex file, 5 pages

Scientific paper

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 $\S^n$ or a connected sum $\CP^n # ... # \CP^n$.

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