Topology of Generalized Complex Quotients

Authors

Thomas Baird, Mathematical InstituteFollow
Yi Lin, Georgia Southern UniversityFollow

Document Type

Article

Publication Date

10-2010

Publication Title

Journal of Geometry and Physics

DOI

10.1016/j.geomphys.2010.05.002

ISSN

0393-0440

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.

Recommended Citation

Baird, Thomas, Yi Lin. 2010. "Topology of Generalized Complex Quotients." Journal of Geometry and Physics, 60 (10): 1539-1557. doi: 10.1016/j.geomphys.2010.05.002
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/98