Generalized complex hamiltonian torus actions: Examples and constraints

Details Generalized complex hamiltonian torus actions: Examples and constraints Generalized complex hamiltonian torus actions: Examples and constraints

2009-04-07

arxiv.org/abs/0904.1178v2

Journal of the LMS 81(3) (2010) 573-588

Mathematics

Differential Geometry

19 pages

Scientific paper

Consider an effective Hamiltonian torus action $T\times M \to M$ on a
topologically twisted,generalized complex manifold $M$ of dimension $2n$. We
prove that the $rank(T) \leq n-2$ 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.

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