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Article
Generalized Complex Hamiltonian Torus Actions: Examples and Constraints
Journal of London Mathematical Society (2010)
  • Thomas Baird, University of Oxford
  • Yi Lin, Georgia Southern University
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.
Keywords
  • Differential geometry
Disciplines
Publication Date
March 17, 2010
DOI
10.1112/jlms/jdp079
Publisher Statement
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.
Citation Information
Thomas Baird and Yi Lin. "Generalized Complex Hamiltonian Torus Actions: Examples and Constraints" Journal of London Mathematical Society Vol. 81 Iss. 3 (2010) p. 573 - 588 ISSN: 1469-7750
Available at: http://works.bepress.com/yi_lin/7/