16 citations · 40 across the 9 of their papers we have counts for
17 papers
Some inverse spectral results for semi-classical Schrödinger operators
V. Guillemin, A. Uribe
We consider a semi-classical Schrödinger operator, -h^2Δ+ V(x). Assuming that the potential admits a unique global minimum and that the eigenvalues of the Hessian are linearly inde…
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.
Signature quantization, representations of compact Lie groups, and a q-analogue of the Kostant partition function
Victor Guillemin, Etienne Rassart
We discuss some applications of signature quantization to the representation theory of compact Lie groups. In particular, we prove signature analogues of the Kostant formula for we…
Morse theory on Hamiltonian G-spaces and equivariant K-theory
Victor Guillemin, Mikhail Kogan
Let be a torus and a compact Hamiltonian -manifold with finite fixed point set . If is a circle subgroup of with , the -moment map is a Morse fu…
GKM theory for torus actions with non-isolated fixed points
Victor Guillemin, Tara S. Holm
Let be a compact symplectic manifold and a compact -dimensional torus. A Hamiltonian action, , of on is a GKM action if, for every , the isotr…
A vector partition function for the multiplicities of sl_k(C)
Sara Billey, Victor Guillemin, Etienne Rassart
We use Gelfand-Tsetlin diagrams to write down the weight multiplicity function for the Lie algebra sl_k(C) (type A_{k-1}) as a single partition function. This allows us to apply kn…