Dylan Cant

English · Français · 中文

Remarks on the oscillation energy of Legendrian isotopies

Dylan Cant

01-2023. Published in Geom. Dedicata 217 (2023), Paper No. 86

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.

Links:

• PDF
• arXiv:2301.06205
• Published version (Geom. Dedicata)
• BibTeX

  @article{oscillation-energy,
    author        = {Dylan Cant},
    title         = {Remarks on the oscillation energy of {Legendrian} isotopies},
    journal       = {Geom. Dedicata},
    year          = {2023},
    volume        = {217},
    number        = {5},
    pages         = {Paper No. 86},
    doi           = {10.1007/s10711-023-00825-8},
    eprint        = {2301.06205},
    archivePrefix = {arXiv},
    primaryClass  = {math.SG},
  }