The purpose of this paper is to represent the cohomology ring of a moment-angle manifold over an m-gon explicitly in terms of the quotient of an exterior algebra,and to count the Betti numbers of the cohomology groups...The purpose of this paper is to represent the cohomology ring of a moment-angle manifold over an m-gon explicitly in terms of the quotient of an exterior algebra,and to count the Betti numbers of the cohomology groups of a special class of quotients of moment-angle manifolds.展开更多
In this paper we introduce the history and present situation of the computation of the cohomology rings of Kac-Moody groups,their flag manifolds and classifying spaces,and give some problems and conjectures that deser...In this paper we introduce the history and present situation of the computation of the cohomology rings of Kac-Moody groups,their flag manifolds and classifying spaces,and give some problems and conjectures that deserve further study.展开更多
基金Partially supported by the NSFC(11971112)China ScholarshipCouncil(202106100095).
文摘The purpose of this paper is to represent the cohomology ring of a moment-angle manifold over an m-gon explicitly in terms of the quotient of an exterior algebra,and to count the Betti numbers of the cohomology groups of a special class of quotients of moment-angle manifolds.
基金National Natural Science Foundation of China(Grant No.12071034).
文摘In this paper we introduce the history and present situation of the computation of the cohomology rings of Kac-Moody groups,their flag manifolds and classifying spaces,and give some problems and conjectures that deserve further study.
