Cohomology of loop spaces of Hermitian symmetric spaces of classical types

被引：0

作者：

Choi, Younggi ^{[1
]}

机构：

[1] Seoul Natl Univ, Dept Math Educ, Seoul 151748, South Korea

来源：

TOPOLOGY AND ITS APPLICATIONS | 2013年 / 160卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

Hermitian symmetric spaces of classical types; Loop space; Free loop space; Totally non-homologous to zero; HOMOLOGY; HOMOTOPY;

D O I：

10.1016/j.topol.2012.11.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the mod p cohomology of loop spaces and free loop spaces of irreducible compact Hermitian symmetric spaces of classical types. We also prove that the integral cohomology of loop spaces of them is torsion free, or has only 2-torsion of order 2. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：280 / 291

页数：12

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