Contact spectral invariants are constructed from contact Hamiltonian Floer homology and used to prove rigidity theorems for contact manifolds.
Contactomorphisms of the sphere without translated points
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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.
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Quantitative contact Hamiltonian dynamics
Contact spectral invariants are constructed from contact Hamiltonian Floer homology and used to prove rigidity theorems for contact manifolds.