EQUIVARIANT K-THEORY OF DIVISIVE TORUS

被引:2
|
作者
Sarkar, Soumen [1 ]
机构
[1] Indian Inst Technol Madras, Dept Math, Chennai, Tamil Nadu, India
关键词
manifold with corners; torus action; torus orbifolds; generalized cohomology theory; equivariant K-theory; ORBIFOLDS;
D O I
10.1216/rmj.2020.50.255
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The category of torus orbifolds is a generalization of the category of toric orbifolds which contains projective toric varieties associated to complete simplicial fans. We introduce the concept of "divisive" torus orbifolds following divisive weighted projective spaces. The divisive condition may ensure an invariant cell structure on a locally standard torus orbifold. We give a combinatorial description of equivariant K -theory, equivariant cobordism theory and equivariant cohomology theory of divisive torus orbifolds. In particular, we get a combinatorial description of these generalize cohomology theories for torus manifolds over acyclic polytopes.
引用
收藏
页码:255 / 266
页数:12
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