16 citations · 40 across the 9 of their papers we have counts for
4 papers · 1 filter
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…
One-skeleta, Betti numbers and equivariant cohomology
Victor Guillemin, Catalin Zara
The one-skeleton of a G-manifold M is the set of points p in M where ; and M is a GKM manifold if the dimension of this one-skeleton is 2. Goresky, Kottwit…
Equivariant de Rham Theory and Graphs
Victor Guillemin, Catalin Zara
Goresky, Kottwitz and MacPherson have recently shown that the computation of the equivariant cohomology ring of a G-manifold can be reduced to a computation in graph theory. This o…