1 citations · 1 across the 3 of their papers we have counts for
6 papers · 1 filter
Group-valued Implosion and Parabolic Structures
Jacques Hurtubise, Lisa Jeffrey, Reyer Sjamaar
The purpose of this paper is twofold. First we extend the notion of symplectic implosion to the category of quasi-Hamiltonian -manifolds, where is a simply connected compact…
Equivariant symplectic Hodge theory and the -lemma
Yi Lin, Reyer Sjamaar
Consider a Hamiltonian action of a compact Lie group on a symplectic manifold which has the strong Lefschetz property. We establish an equivariant version of the Merkulov-Guillemin…
A de Rham theorem for symplectic quotients
Reyer Sjamaar
We introduce a de Rham model for stratified spaces arising from symplectic reduction. It turns out that the reduced symplectic form and its powers give rise to well-defined cohomol…
Symplectic implosion
Victor Guillemin, Lisa Jeffrey, Reyer Sjamaar
Let be a compact Lie group. We introduce the process of symplectic implosion, which associates to every Hamiltonian -manifold a stratified space called the imploded cross-se…
Moment maps and Riemannian symmetric pairs
Luis O'Shea, Reyer Sjamaar
The main result of this paper is a ``real form'' of Kirwan's convexity theorem, which in the abelian case was proved earlier by Duistermaat. We apply our result to flag varieties o…
Coadjoint orbits, moment polytopes, and the Hilbert-Mumford criterion
Arkady Berenstein, Reyer Sjamaar
Consider a compact Lie group and a closed subgroup. Generalizing a result of Klyachko, we give a necessary and sufficient criterion for a coadjoint orbit of the subgroup to be cont…