R. Goldin

most citedReal loci of symplectic reductions

2 citations · 2 across the 2 of their papers we have counts for

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math.SG2002

Cohomology of symplectic reductions of generic coadjoint orbits

R. F. Goldin, A. -L. Mare

Let mathcal{O}_lambda be a generic coadjoint orbit of a compact semi-simple Lie group K. Weight varieties are the symplectic reductions of mathcal{O}_lambda by the maximal torus T…

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

An effective algorithm for the cohomology ring of symplectic reductions

R. F. Goldin

Let G be a compact torus acting on a compact symplectic manifold M in a Hamiltonian fashion, and T a subtorus of G. We prove that the kernel of $κ : H_{G}^{*} (M) \to H^{*} (M // G)$ is generat…

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…

Cohomology of symplectic reductions of generic coadjoint orbits

Real loci of symplectic reductions

An effective algorithm for the cohomology ring of symplectic reductions

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

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