14 citations · 19 across the 3 of their papers we have counts for
3 papers
math-ph2021
Dynamical Quantization of Contact Structures
Roger Casals, Gabriel Herczeg, Andrew Waldron
We construct a dynamical quantization for contact manifolds in terms of a flat connection acting on a Hilbert tractor bundle. We show that this contact quantization, which is indep…
math.SG2014★ 14 cited
Chern-Weil theory and the group of strict contactomorphisms
Roger Casals, Oldřich Spáčil
In this paper we study the groups of contactomorphisms of a closed contact manifold from a topological viewpoint. First we construct examples of contact forms on spheres whose Reeb…
math.SG2014★ 5 cited
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.