4 papers
Spectral selectors on strongly orderable contact manifolds and applications
Pierre-Alexandre Arlove
We prove that the spectral selectors introduced by the author for closed strongly orderable contact manifolds satisfy algebraic properties analogous to those of the spectral select…
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…
Invariant distances on spaces of Legendrians
Pierre-Alexandre Arlove
We construct new unbounded invariant distances on the universal cover of certain Legendrian isotopy classes. This is the first instance where unboundedness of an invariant distance…
Contact non-squeezing in various closed prequantizations
Pierre-Alexandre Arlove
We describe some contact non-squeezing phenomena, first in lens spaces then in strongly order able closed prequantizations in the sense of Liu. To detect and quantify these non-squ…