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 2001Show all

3 papers · 1 filter

math.SG2001

A GKM description of the equivariant cohomology ring of a homogeneous space

Victor Guillemin, Tara Holm, Catalin Zara

Let $T$ be a torus of dimension $n > 1$ and $M$ a compact $T -$ manifold. $M$ is a GKM manifold if the set of zero dimensional orbits in the orbit space $M / T$ is zero dimensional and t…

math.SG2001

The mod 2 cohomology of fixed point sets of anti-symplectic involutions

Daniel Biss, Victor W. Guillemin, Tara S. Holm

Let $M$ be a compact, connected symplectic manifold with a Hamiltonian action of a compact $n$ -dimensional torus $G = T^{n}$ . Suppose that $σ$ is an anti-symplectic involution compatib…

math.SG2001

Symplectic implosion

Victor Guillemin, Lisa Jeffrey, Reyer Sjamaar

Let $K$ be a compact Lie group. We introduce the process of symplectic implosion, which associates to every Hamiltonian $K$ -manifold a stratified space called the imploded cross-se…