T. Holm

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20012004

most citedHow is a graph like a manifold?

16 citations · 26 across the 6 of their papers we have counts for

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5 papers · 1 filter

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.SG2002★ 2 cited

Real loci of symplectic reductions

R. F. Goldin, T. S. Holm

Let $M$ be a compact, connected symplectic manifold with a Hamiltonian action of a compact $n$ -dimensional torus $T$ . Suppose that $M$ is equipped with an anti-symplectic involutio…

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 equivariant cohomology of Hamiltonian $G$ -spaces From Residual $S^{1}$ Actions

Rebecca Goldin, Tara S. Holm

We show that for a Hamiltonian action of a compact torus $G$ on a compact, connected symplectic manifold $M$ , the $G$ -equivariant cohomology is determined by the residual $S^{1}$ act…

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…

GKM theory for torus actions with non-isolated fixed points

Real loci of symplectic reductions

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

The equivariant cohomology of Hamiltonian G-spaces From Residual S1 Actions

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

The equivariant cohomology of Hamiltonian $G$ -spaces From Residual $S^{1}$ Actions