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.

引用

页码：2589 / 2607

页数：19

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