Dylan Cant

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Contactomorphisms of the sphere without translated points

Dylan Cant

10-2022. Published in J. Symplectic Geom. 22 (2024), 1–10

Abstract:

We construct a contactomorphism of the standard sphere which does not have any translated points, providing a negative answer to a conjecture posed by Sandon.

Links:

• PDF
• arXiv:2210.11002
• Published version (J. Symplectic Geom.)
• BibTeX

  @article{sandon-conjecture,
    author        = {Dylan Cant},
    title         = {Contactomorphisms of the sphere without translated points},
    journal       = {J. Symplectic Geom.},
    year          = {2024},
    volume        = {22},
    number        = {1},
    pages         = {1--10},
    doi           = {10.4310/JSG.2024.v22.n1.a1},
    eprint        = {2210.11002},
    archivePrefix = {arXiv},
    primaryClass  = {math.SG},
  }