4 citations · 5 across the 3 of their papers we have counts for
5 papers · 1 filter
Kaehler cuts
D. Burns, V. Guillemin, E. Lerman
A symplectic cut of a manifold M with a Hamiltonian circle action is a symplectic quotient of M x C. If M is Kaehler then, since C is Kaehler, the cut space is Kaehler as well. The…
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…