paper

Topology of generalized complex quotients

arXiv:0802.1341 · doi:10.1016/j.geomphys.2010.05.002

Abstract

Consider the Hamiltonian action of a torus on a compact twisted generalized complex manifold $M$ . We first observe that Kirwan injectivity and surjectivity hold for ordinary equivariant cohomology in this setting. Then we prove that these two results hold for the twisted equivariant cohomology as well.

33 pages, substantial changes made, expositions on twisted equivariant cohomology improved