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arXiv · 2306.11382

Hofer-Zehnder capacity of disc tangent bundles of projective spaces

Johanna Bimmermann
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Abstract

We compute the Hofer-Zehnder capacity of disc tangent bundles of the complex and real projective spaces of any dimension. The disc bundle is taken with respect to the Fubini-Study resp. round metric, but we can obtain explicit bounds for any other metric. In the case of the complex projective space we also compute the Hofer-Zehnder capacity for the magnetically twisted case, where the twist is proportional to the Fubini-Study form. For arbitrary twists we can still give explicit upper bounds.

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Johanna Bimmermann. 2023-06-20. Hofer-Zehnder capacity of disc tangent bundles of projective spaces. https://arxiv.org/abs/2306.11382

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