Loop-fusion cohomology and transgression
Loop-fusion cohomology and transgression
复制标题
环融合上同调和越界
DOI：
10.4310/mrl.2015.v22.n4.a11
复制
发表时间：
2013
影响因子：
1
通讯作者：
R. Melrose
中科院分区：
文献类型：
--
作者：
Chris Kottke;R. Melrose
“Loop-fusion上同调”定义在流形的连续loop空间上，表示为\vCech上链满足关于loop上的fusion和8字形积的两个乘法条件.主要结果是，这些上同调群，系数在一个阿贝尔群，同构的流形和海侵同态因子。
`Loop-fusion cohomology' is defined on the continuous loop space of a manifold in terms of \vCech 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.