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arXiv · 0802.1341

Topology of generalized complex quotients

Thomas Baird·Yi Lin
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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.

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Thomas Baird, Yi Lin. 2008-02-10. Topology of generalized complex quotients. https://doi.org/10.1016/j.geomphys.2010.05.002

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