Document Type

Article

Publication Date

2010

Publication Title

Journal of London Mathematical Society

DOI

10.1112/jlms/jdp079

ISSN

1469-7750

Abstract

Consider an effective Hamiltonian torus action T×MM 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.

Comments

This version of the paper was obtained from arXIV.org. In order for the work to be deposited in arXIV.org, the author must have permission to distribute the work or the work must be available under the Creative Commons Attribution license, Creative Commons Attribution-Noncommercial-ShareAlike license, or Create Commons Public Domain Declaration. The final publisher's version is available at the Journal of London Mathematical Society.

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Mathematics Commons

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