4 citations · 5 across the 3 of their papers we have counts for
9 papers · 1 filter
On maximal tori in the contactomorphism groups of regular contact manifolds
Eugene Lerman
By a theorem of Banyaga the group of diffeomorphisms of a manifold preserving a regular contact form is a central extension of the commutator of the group of symplect…
Maximal tori in the contactomorphism groups of circle bundles over Hirzebruch surfaces
Eugene Lerman
In a recent preprint Yael Karshon showed that there exist non-conjugate tori in a group of symplectomorphisms of a Hirzebruch surface. She counted them in terms of the cohomology c…
Homotopy groups of K-contact toric manifold
Eugene Lerman
We compute the first and second homotopy groups of a class of contact toric manifolds in terms of the images of the associated moment map.
Geodesic flows and contact toric manifolds
Eugene Lerman
These are notes for a course on contact manifolds and torus actions delivered at the summer school on Symplectic Geometry of Integrable Hamiltonian Systems at Centre de Recerca Mat…
Contact toric manifolds
Eugene Lerman
We complete the classification of compact connected contact toric manifolds initiated by Banyaga and Molino and by Galicki and Boyer. As an application we prove the conjectures of…
A convexity theorem for torus actions on contact manifolds
Eugene Lerman
We show that the cone associated with a moment map for an action of a torus on a contact compact connected manifold is a convex polyhedral cone and that the moment map has connecte…