24 citations · 91 across the 12 of their papers we have counts for
13 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}…
Givental's non-linear Maslov index on lens spaces
Gustavo Granja, Yael Karshon, Milena Pabiniak +1
Givental's non-linear Maslov index, constructed in 1990, is a quasimorphism on the universal cover of the identity component of the contactomorphism group of real projective space.…
Bi-invariant metrics on contactomorphism groups
Sheila Sandon
Contact manifolds are odd-dimensional smooth manifolds endowed with a maximally non-integrable field of hyperplanes. They are intimately related to symplectic manifolds, i.e. even-…
On the non-existence of small positive loops of contactomorphisms on overtwisted contact manifolds
Roger Casals, Francisco Presas, Sheila Sandon
We prove that on overtwisted contact manifolds there can be no positive loops of contactomorphisms that are generated by a -small Hamiltonian function.
The discriminant and oscillation lengths for contact and Legendrian isotopies
Vincent Colin, Sheila Sandon
We define an integer-valued non-degenerate bi-invariant metric (the discriminant metric) on the universal cover of the identity component of the contactomorphism group of any conta…
A Morse estimate for translated points of contactomorphisms of spheres and projective spaces
Sheila Sandon
A point q in a contact manifold is called a translated point for a contactomorphism ϕ, with respect to some fixed contact form, if ϕ(q) and q belong to the same Reeb orbit and the…
On iterated translated points for contactomorphisms of R^{2n+1} and R^{2n} x S^1
Sheila Sandon
A point q in a contact manifold is called a translated point for a contactomorphism ϕ, with respect to some fixed contact form, if ϕ(q) and q belong to the same Reeb orbit and the…
Equivariant Homology of Generating Functions and Orderability of Lens Spaces
Sheila Sandon
In her PhD thesis Milin developed an equivariant version of the contact homology groups constructed by Eliashberg, Kim and Polterovich and used it to prove an equivariant contact n…
An integer valued bi-invariant metric on the group of contactomorphisms of R^2n x S^1
Sheila Sandon
In his 1992 article on generating functions Viterbo constructed a bi-invariant metric on the group of compactly supported Hamiltonian symplectomorphisms of R^2n. Using the set-up o…
Contact Homology, Capacity and Non-Squeezing in R^2n x S^1 via Generating Functions
Sheila Sandon
Starting from the work of Bhupal, we extend to the contact case the Viterbo capacity and Traynor's construction of symplectic homology. As an application we get a new proof of the…