3 citations · 7 across the 5 of their papers we have counts for
5 papers
Surjectivity for Hamiltonian G-spaces in K-theory
Megumi Harada, Gregory D. Landweber
Let G be a compact connected Lie group, and (M,ω) a Hamiltonian G-space with proper moment map μ. We give a surjectivity result which expresses the K-theory of the symplectic quoti…
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,…
The symplectic geometry of the Gel'fand-Cetlin-Molev basis for representations of Sp(2n,C)
Megumi Harada
Gel'fand and Cetlin constructed in the 1950s a canonical basis for a finite-dimensional representation V(λ) of U(n,\C) by successive decompositions of the representation by a chain…
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…