On the KO -groups of toric manifolds

被引：0
|
作者：
Cai, Li [1 ]
Choi, Suyoung [2 ]
Park, Hanchul [3 ]
机构：
[1] Xian Jiaotong Liverpool Univ, Dept Math Sci, Suzhou, Peoples R China
[2] Ajou Univ, Dept Math, Suwon, South Korea
[3] Jeju Natl Univ, Dept Math Educ, Jeju Si, South Korea
来源：
ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2020年 / 20卷 / 05期
基金：
中国国家自然科学基金; 新加坡国家研究基金会;
关键词：
ISOSPECTRAL MANIFOLDS; OPERATIONS;
D O I：
10.2140/agt.2020.20.2589
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the real topological K-groups of a toric manifold M, which turns out to be closely related to the topology of the small cover M-R, the fixed points under the canonical conjugation on M. Following the work of Bahri and Bendersky (2000), we give an explicit formula for the KO -groups of toric manifolds, and then we characterize the two extreme classes of toric manifolds according to their mod 2 cohomology groups as A(1)-modules.
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页码：2589 / 2607
页数：19
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