Topology of generalized complex quotients

被引：3
|
作者：
Baird, Thomas [2 ]
Lin, Yi [1 ]
机构：
[1] Georgia So Univ, Dept Math Sci, Statesboro, GA 30460 USA
[2] Math Inst, Oxford OX1 3LB, England
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2010年 / 60卷 / 10期
关键词：
Generalized complex manifolds; Hamiltonian actions; Equivariant cohomology; Kirwan surjectivity; Morse-Bott function; COHOMOLOGY; REDUCTION;
D O I：
10.1016/j.geomphys.2010.05.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Consider the Hamiltonian action of a torus on a compact twisted generalized complex manifold M. We first observe that Kirwan injectivity and surjectivity hold for ordinary equivariant cohomology in this setting Then we prove that these two results hold for the twisted equivariant cohomology as well (C) 2010 Elsevier B.V. All rights reserved
引用
收藏
页码：1539 / 1557
页数：19
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