Cellular cochain algebras and torus actions
Cellular cochain algebras and torus actions
复制标题
DOI：
10.1070/rm2004v059n03abeh000743
复制
发表时间：
2004-06
影响因子：
0.9
通讯作者：
I. Baskakov;V. Buchstaber;T. Panov
中科院分区：
文献类型：
--
作者：
I. Baskakov;V. Buchstaber;T. Panov
. Cellular cochains do notadmit a functorial associative multiplication because a proper cellular diag-onal approximation does not exist in general. The construction of moment-angle complexes is a functor from the category of simplicial complexes to thecategory of spaces with torus action. We show that in this special case theproposed cellular approximation of the diagonal is associative and functorialwith respect to those maps of moment-angle complexes which are inducedby simplicial maps.The face ring of a complex K on the vertex set [m] = {1,...,m} isthe graded quotient ring Z[K] = Z[v
