On the Cohomology Ring of Real Moment-Angle Complexes

Elizabeth Vidaurre

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arXiv · 1906.00783

On the Cohomology Ring of Real Moment-Angle Complexes

Elizabeth Vidaurre

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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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Elizabeth Vidaurre. 2019-05-30. On the Cohomology Ring of Real Moment-Angle Complexes. https://arxiv.org/abs/1906.00783

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