ON THE(CO)HOMOLOGY OF(QUOTIENTS OF)MOMENT-ANGLE MANIFOLDS OVER POLYGONS  

作　　者：Zhi LV Song ZHANG 吕志;张嵩(School of Mathematical Sciences,Fudan University,Shanghai 200433,China)

机构地区：[1]School of Mathematical Sciences,Fudan University,Shanghai 200433,China

出　　处：《Acta Mathematica Scientia》2022年第6期2204-2222,共19页数学物理学报（B辑英文版）

基　　金：Partially supported by the NSFC(11971112);China ScholarshipCouncil(202106100095).

摘　　要：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.

关 键 词：moment-angle manifold spectral sequence cohomology ring Betti number 

分 类 号：O186.1[理学—数学]