16 citations · 26 across the 6 of their papers we have counts for
9 papers
Computation of generalized equivariant cohomologies of Kac-Moody flag varieties
Megumi Harada, Andre Henriques, Tara S. Holm
In 1998, Goresky, Kottwitz, and MacPherson showed that for certain projective varieties X equipped with an algebraic action of a complex torus T, the equivariant cohomology ring H_…
The equivariant cohomology of hypertoric varieties and their real loci
Megumi Harada, Tara S. Holm
Let M be a Hamiltonian T space with a proper moment map, bounded below in some component. In this setting, we give a combinatorial description of the T-equivariant cohomology of M,…
T-equivariant cohomology of cell complexes and the case of infinite Grassmannians
Megumi Harada, Andre Henriques, Tara Holm
In 1998, Goresky, Kottwitz, and MacPherson showed that for certain spaces X equipped with a torus action, the T-equivariant cohomology ring of X can be described by combinatorial d…
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…
Real loci of symplectic reductions
R. F. Goldin, T. S. Holm
Let be a compact, connected symplectic manifold with a Hamiltonian action of a compact -dimensional torus . Suppose that is equipped with an anti-symplectic involutio…
How is a graph like a manifold?
Ethan Bolker, Victor Guillemin, Tara Holm
In this article, we discuss some classical problems in combinatorics which can be solved by exploiting analogues between graph theory and the theory of manifolds. One well-known ex…