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.
Original language | English |
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Pages (from-to) | 1539-1557 |
Number of pages | 19 |
Journal | Journal of Geometry and Physics |
Volume | 60 |
Issue number | 10 |
DOIs | |
State | Published - Oct 2010 |
Scopus Subject Areas
- Mathematical Physics
- General Physics and Astronomy
- Geometry and Topology
Keywords
- Equivariant cohomology
- Generalized complex manifolds
- Hamiltonian actions
- Kirwan surjectivity
- Morse-Bott function