5 papers
Flexibility of the Hamiltonian adjoint action and classification of bi-invariant metrics
Lev Buhovsky, Maksim Stokić
On an open, connected symplectic manifold , the group of Hamiltonian diffeomorphisms forms an infinite-dimensional Fréchet Lie group with Lie algebra and a…
-Contact Geometry of Surfaces in 3-Manifolds
Baptiste Serraille, Maksim Stokić
We prove that contact homeomorphisms preserve characteristic foliations on surfaces in contact -manifolds. More precisely, since the characteristic foliation is a singular -d…
-flexibility of Legendrian discs in
Maksim Stokić
We construct a compactly supported contact homeomorphism of , with the standard contact structure, which maps a Legendrian disc to a smooth nowhere Legendrian disc.
Flexibility of the adjoint action of the group of Hamiltonian diffeomorphisms
Lev Buhovsky, Maksim Stokić
On a closed and connected symplectic manifold, the group of Hamiltonian diffeomorphisms has the structure of an infinite-dimensional Fréchet Lie group, where the Lie algebra is nat…
New steps in symplectic and contact geometry of smooth submanifolds
Maksim Stokić
We provide a counterexample to the Lagrangian Arnold conjecture in the cotangent bundle of a closed manifold. Additionally, we prove a quantitative -principle for subcriti…