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Generalized complex hamiltonian torus actions: Examples and constraints

By Thomas Baird and Yi Lin


ABSTRACT. Consider an effective Hamiltonian torus action T × M → M on a topologically twisted, generalized complex manifold M of dimension 2n. We prove that the rank(T) ≤ n − 2 and that the topological twisting survives Hamiltonian reduction. We then construct a large new class of such actions satisfying rank(T) = n − 2, using a surgery procedure on toric manifolds. 1

Year: 2009
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