5 citations · 19 across the 10 of their papers we have counts for
6 papers · 1 filter
Morse estimates for translated points on unit tangent bundles
Simon Allais
In this article, we study conjectures of Sandon on the minimal number of translated points in the special case of the unit tangent bundle of a Riemannian manifold. We restrict ours…
On the Hofer-Zehnder conjecture on weighted projective spaces
Simon Allais
We prove an extension of the homology version of the Hofer-Zehnder conjecture proved by Shelukhin to the weighted projective spaces which are symplectic orbifolds. In particular, w…
On the minimal number of translated points in contact lens spaces
Simon Allais
In this article, we prove that every contactomorphism of any standard contact lens space of dimension that is contact-isotopic to identity has at least translated point…
On the Hofer-Zehnder conjecture on via generating functions (with an appendix by Egor Shelukhin)
Simon Allais
We use generating function techniques developed by Givental, Théret and ourselves to deduce a proof in of the homological generalization of Franks theorem du…
On periodic points of Hamiltonian diffeomorphisms of via generating functions
Simon Allais
Inspired by the techniques of Givental and Théret, we provide a proof with generating functions of a recent result of Ginzburg-Gürel concerning the periodic points of Hamiltonian d…
A contact camel theorem
Simon Allais
We provide a contact analogue of the symplectic camel theorem that holds in , and indeed generalize the symplectic camel. Our proof is based on the gener…