Dga models for moment-angle complexes
Algebraic Topology
2025-07-04 v2
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.
Cite
@article{arxiv.2006.01571,
title = {Dga models for moment-angle complexes},
author = {Matthias Franz},
journal= {arXiv preprint arXiv:2006.01571},
year = {2025}
}
Comments
12 pages; presentation expanded