On the Cohomology Ring of Real Moment-Angle Complexes

2019/05/30 by Vidaurre, Elizabeth
#05E45 #13F55 #14F45 #55N45 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1906.00783

Abstract

In this article, we study the cohomology ring of real moment-angle complexes over a simplicial complex K. Combinatorial generators for the cohomology can be given in terms of K. For K the boundary of an n-gon, we give a full description of the multiplicative structure of the cohomology ring in terms of the combinatorial generators. As a consequence, it is evident that these generators do not form a symplectic basis, unlike the case for moment-angle complexes.

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