activity
19982005
most citedOn maximal tori in the contactomorphism groups of regular contact manifolds

4 citations · 5 across the 3 of their papers we have counts for

collaborators
Showing math.DGShow all

4 papers · 1 filter

math.DG2005★ 1 cited

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.

math.DG2002

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…

math.DG2000

Toric integrable geodesic flows

Eugene Lerman, Nadya Shirokova

By studying completely integrable torus actions on contact manifolds we prove a conjecture of Toth and Zelditch that toric integrable geodesic flows on tori must have flat metrics.

math.DG1998

Intersection cohomology of symplectic quotients and small resolutions

Eugene Lerman, Susan Tolman

We provided two explicit formulas for the intersection cohomology (as a graded vector space with pairing) of the symplectic quotient by a circle in terms of the equivariant c…