Loop-fusion cohomology and transgression

被引：2

作者：

Kottke, Chris ^{[1
]}

Melrose, Richard B. ^{[2
]}

机构：

[1] Northeastern Univ, Dept Math, Boston, MA 02115 USA

[2] MIT, Dept Math, Cambridge, MA 02139 USA

来源：

MATHEMATICAL RESEARCH LETTERS | 2015年 / 22卷 / 04期

关键词：

BUNDLES; SPACES; GERBES;

D O I：

10.4310/MRL.2015.v22.n4.a11

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

'Loop-fusion cohomology' is defined on the continuous loop space of a manifold in terms of. Cech cochains satisfying two multiplicative conditions with respect to the fusion and figure-of-eight products on loops. The main result is that these cohomology groups, with coefficients in an abelian group, are isomorphic to those of the manifold and the transgression homomorphism factors through the isomorphism.

引用

页码：1177 / 1192

页数：16

共 11 条

[1]

[Anonymous], 2005, PREPRINT

[2] HOLONOMY AND PATH STRUCTURES IN GENERAL-RELATIVITY AND YANG-MILLS THEORY [J].