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arXiv · 2006.01571

Dga models for moment-angle complexes

Matthias Franz
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Abstract

A dga model for the integral singular cochains on a moment-angle complex is given by the twisted tensor product of the corresponding Stanley-Reisner ring and an exterior algebra. We present a short proof of this fact and extend it to real moment-angle complexes. We also compare various descriptions of the cohomology rings of these spaces, including one stated without proof by Gitler and L\'opez de Medrano.

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Matthias Franz. 2020-06-02. Dga models for moment-angle complexes. https://doi.org/10.1007/978-3-031-57204-3_7

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