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Symplectic fibrations and Riemann-Roch numbers of reduced spaces
Mark Hamilton, Lisa Jeffrey
In this article we give formulas for the Riemann-Roch number of a symplectic quotient arising as the reduced space corresponding to a coadjoint orbit (for an orbit close to 0) as a…
Intersection numbers in quasi-Hamiltonian reduced spaces
Lisa Jeffrey, Joon-Hyeok Song
In this paper we prove a residue formula for intersection pairings of reduced spaces of certain quasi-Hamiltonian G-spaces, by constructing the corresponding Hamiltonian G-space. O…
Localization theorems by symplectic cuts
Lisa Jeffrey, Mikhail Kogan
Given a compact symplectic manifold M with the Hamiltonian action of a torus T, let zero be a regular value of the moment map, and M_0 the symplectic reduction at zero. Denote by κ…
The Kernel of the Equivariant Kirwan Map and the Residue Formula
Lisa C. Jeffrey, Augustin-Liviu Mare
Using the notion of equivariant Kirwan map, as defined by Goldin, we prove that -- in the case of Hamiltonian torus actions with isolated fixed points -- Tolman and Weitsman's desc…
The Kirwan map, equivariant Kirwan maps, and their kernels
Lisa C. Jeffrey, Augustin-Liviu Mare, Jonathan M. Woolf
Consider a Hamiltonian action of a compact Lie group K on a compact symplectic manifold. We find descriptions of the kernel of the Kirwan map corresponding to a regular value of th…
The residue formula and the Tolman-Weitsman theorem
Lisa C. Jeffrey
We give a simple direct proof (for the case of Hamiltonian circle actions with isolated fixed points) that Tolman and Weitsman's description of the kernel of the Kirwan map (in oth…