Resumen de Generalized complex Hamiltonian torus actions: examples and constraints

Thomas John Baird, Yi Lin

• Consider an effective Hamiltonian torus action T �~M �¨ M on a topologically twisted, generalized complex manifold M of dimension 2n. We prove that dim(T)  n . 2 and that the topological twisting survives Hamiltonian reduction. We then construct a large new class of such actions satisfying dim(T) = n . 2, using a surgery procedure on toric manifolds.