Topology of generalized complex quotients

Mathematics – Differential Geometry

Scientific paper

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

Scientific paper

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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