4 citations · 5 across the 3 of their papers we have counts for
13 papers
Kaehler metrics on singular toric varieties
D. Burns, V. Guillemin, E. Lerman
We extend Guillemin's formula for Kaehler potentials on toric manifolds to singular quotients of C^N and CP^N.
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…