Generalized complex Hamiltonian torus actions: examples and constraints
- Autores: Thomas John Baird, Yi Lin
- Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 81, Nº 3, 2010, págs. 573-588
- Idioma: inglés
- DOI: 10.1112/jlms/jdp079
- Enlaces
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Resumen
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.
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