On the rigidity of translated points
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.
Authors
- Jakob Hedicke (ORCID: https://orcid.org/0000-0002-8818-2982)
- Dylan Cant (ORCID: https://orcid.org/0000-0002-6894-0504)
Institutions
- Université Paris-Saclay (FR)
- Institut des Sciences des Plantes de Paris Saclay (FR)
- Université de Montréal (CA)
Publication Details
- Journal
- Geometriae Dedicata
- Published
- 2025-05-18
- DOI
- https://doi.org/10.1007/s10711-025-01013-6
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Agence Nationale de la Recherche
- Université de Montréal
- Université Paris-Saclay
- Courtois Foundation