We show that generic symplectic quotients of a Hamiltonian G-space M by the action of a
compact connected Lie group G are also symplectic quotients of the same manifold M by a …

We use the abelianization theorem of Crooks and Weitsman (2022) to prove a non‐abelian
generalization of the Duistermaat–Heckman theorem for measures. Our main technical tools …

Coadjoint orbits and multiplicity free spaces of compact Lie groups are important examples
of symplectic manifolds with Hamiltonian groups actions. Constructing action-angle …

The bundle map T⁎ U (n)⟶ U (n) provides a real polarization of the cotangent bundle T⁎ U
(n), and yields the geometric quantization Q 1 (T⁎ U (n))= L 2 (U (n)). We use the Gelfand …

We prove that the Gromov width of any Bott-Samelson variety associated to a reduced
expression and equipped with a rational Kähler form equals the symplectic area of a …

This paper describes two real analytic symplectomorphisms defined on appropriate dense
open subsets of any coadjoint orbit of a compact semisimple Lie algebra. The first …