On the Cohomology Ring of Real Moment-Angle Complexes

Elizabeth Vidaurre

On the Cohomology Ring of Real Moment-Angle Complexes

Algebraic Topology 2019-06-13 v2

Authors: Elizabeth Vidaurre

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.

Keywords

real moment-angle complex cohomology ring simplicial complex combinatorial generators multiplicative structure symplectic basis

Cite

@article{arxiv.1906.00783,
  title  = {On the Cohomology Ring of Real Moment-Angle Complexes},
  author = {Elizabeth Vidaurre},
  journal= {arXiv preprint arXiv:1906.00783},
  year   = {2019}
}

Comments

arXiv admin note: text overlap with arXiv:1709.07520

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