342 citations · 647 across the 49 of their papers we have counts for
7 papers · 1 filter
Singular Reduction and Quantization
Eckhard Meinrenken, Reyer Sjamaar
Consider a compact prequantizable symplectic manifold M on which a compact Lie group G acts in a Hamiltonian fashion. The ``quantization commutes with reduction'' theorem asserts t…
Lie Group Valued Moment Maps
Anton Alekseev, Anton Malkin, Eckhard Meinrenken
We develop a theory of "quasi"-Hamiltonian G-spaces for which the moment map takes values in the group G itself rather than in the dual of the Lie algebra. The theory includes coun…
Fusion of Hamiltonian loop group manifolds and cobordism
Eckhard Meinrenken, Chris Woodward
We construct an oriented cobordism between moduli spaces of flat connections on the three holed sphere and disjoint unions of toric varieties, together with a closed two-form which…
Moduli spaces of flat connections on 2-manifolds, cobordism, and Witten's volume formulas
Eckhard Meinrenken, Chris Woodward
We discuss Witten's formulas for the symplectic volumes of moduli spaces of flat connections on 2-manifolds from the viewpoint of Hamiltonian cobordism as introduced by Ginzburg-Gu…
A symplectic proof of Verlinde factorization
Eckhard Meinrenken, Chris Woodward
We prove a multiplicity formula for Riemann-Roch numbers of reductions of Hamiltonian actions of loop groups. This includes as a special case the factorization formula for the quan…
Non-abelian convexity by symplectic cuts
Eugene Lerman, Eckhard Meinrenken, Sue Tolman +1
In this paper we extend the results of Kirwan et alii on convexity properties of the moment map for Hamiltonian group actions, and on the connectedness of the fibers of the moment…