3 papers
math.SG2024
-Local Flatness and Geodesics of the Legendrian Spectral Distance
Simon Allais, Pierre-Alexandre Arlove
In this article, we give an explicit computation of the order spectral selectors of a pair of -close Legendrian submanifolds belonging to an orderable isotopy class. The …
math.SG2024
Spectral selectors on lens spaces and applications to the geometry of the group of contactomorphisms
Simon Allais, Pierre-Alexandre Arlove, Sheila Sandon
Using Givental's non-linear Maslov index we define a sequence of spectral selectors on the universal cover of the identity component of the contactomorphism group of any lens space…
math.SG2023
Spectral selectors and contact orderability
Simon Allais, Pierre-Alexandre Arlove
We study the notion of orderability of isotopy classes of Legendrian submanifolds and their universal covers, with some weaker results concerning spaces of contactomorphisms. Our m…