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Legendrians with vanishing Shelukhin-Chekanov-Hofer metric

Published 18 Jan 2023 in math.SG | (2301.07575v2)

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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Authors (1)

  1. Lukas Nakamura 

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