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arXiv · 2301.06205

Remarks on the oscillation energy of Legendrian isotopies

Dylan Cant
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Abstract

We construct non-compact contact manifolds containing compact Legendrians which can be displaced from their Reeb flow with arbitrarily small oscillation energy. We use this to show the Shelukhin-Chekanov-Hofer pseudo-metric considered by Rosen and Zhang is degenerate on the isotopy class of the constructed Legendrians. Other aspects related to oscillation energy of Legendrian isotopies are explored.

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Dylan Cant. 2023-01-15. Remarks on the oscillation energy of Legendrian isotopies. https://arxiv.org/abs/2301.06205

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