V. Guillemin

activity

19982005

most citedHow is a graph like a manifold?

16 citations · 40 across the 9 of their papers we have counts for

collaborators

Showing 2003Show all

4 papers · 1 filter

math.SG2003★ 1 cited

Morse theory on Hamiltonian G-spaces and equivariant K-theory

Victor Guillemin, Mikhail Kogan

Let $G$ be a torus and $M$ a compact Hamiltonian $G$ -manifold with finite fixed point set $M^{G}$ . If $T$ is a circle subgroup of $G$ with $M^{G} = M^{T}$ , the $T$ -moment map is a Morse fu…

math.SG2003★ 5 cited

GKM theory for torus actions with non-isolated fixed points

Victor Guillemin, Tara S. Holm

Let $M^{2 d}$ be a compact symplectic manifold and $T$ a compact $n$ -dimensional torus. A Hamiltonian action, $τ$ , of $T$ on $M$ is a GKM action if, for every $p \in M^{T}$ , the isotr…

math.CO2003★ 13 cited

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…

math.SG2003★ 1 cited

Potential functions and actions of tori on Kaehler manifolds

D. Burns, V. Guillemin

Let M be a Kaehler manifold with a free, holomorphic and Hamiltonian action of the standard n-torus T. We give a simple, explicit and canonical formula for the Kaehler potential on…