4 papers
On flat translated chains of contactomorphisms of and
Marco Mazzucchelli, Sheila Sandon
We introduce the notions of flat translated chains of contactomorphisms and periodic flat translated chains of finite sequences of contactomorphisms, and extend to these notions th…
Non-squeezing and other global rigidity results in locally conformal symplectic geometry
Mélanie Bertelson, Pranav Chakravarthy, Sheila Sandon
Using generating functions quadratic at infinity for Lagrangian submanifolds of twisted cotangent bundles, we define spectral selectors for compactly supported lcs Hamiltonian diff…
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…
Contact non-squeezing at large scale via generating functions
Maia Fraser, Sheila Sandon, Bingyu Zhang
Using SFT techniques, Eliashberg, Kim and Polterovich (2006) proved that if for some integer then there is no contact squeezing in $\mathbb{R}^{2n}…