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×M→M 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.
Recommended Citation
Baird, Thomas, Yi Lin.
2010.
"Generalized Complex Hamiltonian Torus Actions: Examples and Constraints."
Journal of London Mathematical Society, 81 (3): 573-588.
doi: 10.1112/jlms/jdp079
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/97
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.