152 citations · 375 across the 47 of their papers we have counts for
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Equivariant inverse spectral theory and toric orbifolds
Emily B. Dryden, Victor Guillemin, Rosa Sena-Dias
Let O be a symplectic toric 2n-dimensional orbifold with a fixed T^n-action and with a toric Kahler metric g. We previously explored whether, when O is a manifold, the equivariant…
Hearing Delzant polytopes from the equivariant spectrum
Emily B. Dryden, Victor Guillemin, Rosa Sena-Dias
Let M^{2n} be a symplectic toric manifold with a fixed T^n-action and with a toric Kähler metric g. Abreu asked whether the spectrum of the Laplace operator on $\mathcal{C}^\…
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…