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.
Zhi Lü
,
Song ZHANG
. ON THE (CO)HOMOLOGY OF (QUOTIENTS OF) MOMENT-ANGLE MANIFOLDS OVER POLYGONS[J]. Acta mathematica scientia, Series B, 2022
, 42(6)
: 2204
-2222
.
DOI: 10.1007/s10473-022-0602-1
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