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arXiv · 2301.07575

Legendrians with vanishing Shelukhin-Chekanov-Hofer metric

Lukas Nakamura
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Abstract

We show that the Legendrian lift of an exact, displaceable Lagrangian has vanishing Shelukhin-Chekanov-Hofer pseudo-metric by lifting an argument due to Sikorav to the contactization. In particular, this proves the existence of such Legendrians, providing counterexamples to a conjecture of Rosen and Zhang.

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Lukas Nakamura. 2023-01-18. Legendrians with vanishing Shelukhin-Chekanov-Hofer metric. https://doi.org/10.4310/arkiv.2024.v62.n1.a8

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