Dylan Cant

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On the rigidity of translated points

Dylan Cant, Jakob Hedicke

09-2024. Published in Geom. Dedicata 219 (2025), Paper No. 52

Abstract:

We show that there exist contact isotopies of the standard contact sphere whose time-1 maps do not have any translated points which are optimally close to the identity in the Shelukhin-Hofer distance. This proves the sharpness of a theorem of Shelukhin on the existence of translated points for contact isotopies of Liouville fillable contact manifolds with small enough Shelukhin-Hofer norm.

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• arXiv:2409.08962
• Published version (Geom. Dedicata)
• BibTeX

  @article{rigidity-translated-points,
    author        = {Dylan Cant and Jakob Hedicke},
    title         = {On the rigidity of translated points},
    journal       = {Geom. Dedicata},
    year          = {2025},
    volume        = {219},
    number        = {4},
    pages         = {Paper No. 52},
    doi           = {10.1007/s10711-025-01013-6},
    eprint        = {2409.08962},
    archivePrefix = {arXiv},
    primaryClass  = {math.SG},
  }