Dylan Cant

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Remarks on the oscillation energy of Legendrian isotopies

Dylan Cant

2023年01月。发表于 Geom. Dedicata 217 (2023), Paper No. 86

摘要：

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.

链接：

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• arXiv:2301.06205
• 期刊版本（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},
  }