Contactomorphisms of the sphere without translated points

Dylan Cant

Contactomorphisms of the sphere without translated points

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arxiv 2210.11002 v1 pith:PLQLXAPI submitted 2022-10-20 math.SG

Dylan Cant This is my paper · ORCID

classification math.SG

keywords pointsspheretranslatedanswerconjectureconstructcontactomorphismcontactomorphisms

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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.

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Quantitative contact Hamiltonian dynamics
math.SG 2025-07 conditional novelty 7.0 of 10

Contact spectral invariants are constructed from contact Hamiltonian Floer homology and used to prove rigidity theorems for contact manifolds.

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