English

Topology of generalized complex quotients

Differential Geometry 2015-05-13 v2 Symplectic Geometry

Abstract

Consider the Hamiltonian action of a torus on a compact twisted generalized complex manifold MM. 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.

Keywords

Cite

@article{arxiv.0802.1341,
  title  = {Topology of generalized complex quotients},
  author = {Thomas Baird and Yi Lin},
  journal= {arXiv preprint arXiv:0802.1341},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-21T10:11:18.583Z