arXiv Open Access 2024

Magnetic billiards and the Hofer-Zehnder capacity of disk tangent bundles of lens spaces

Johanna Bimmermann Levin Maier

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Abstrak

We compute the Hofer-Zehnder capacity of disk tangent bundles of certain lens spaces with respect to the round metric. Interestingly we find that the Hofer-Zehnder capacity does not see the covering, i.e. the capacity of the disk tangent bundle of the lens space coincides with the capacity of the disk tangent bundle of the 3-sphere covering it. In particular, this gives a first example, where Gromov width and Hofer-Zehnder capacity of a disk tangent bundle disagree. Techniques we use include for the lower bound magnetic billiards and for the upper bound Gromov-Witten invariants.

Topik & Kata Kunci

math.SG math.DS

Penulis (2)

Johanna Bimmermann

Levin Maier

Format Sitasi

APA MLA BibTeX

Bimmermann, J., Maier, L. (2024). Magnetic billiards and the Hofer-Zehnder capacity of disk tangent bundles of lens spaces. https://arxiv.org/abs/2403.06761

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓