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| Main Author: | |
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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2006.01571 |
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| _version_ | 1866909673459810304 |
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| author | Franz, Matthias |
| author_facet | Franz, Matthias |
| contents | 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 López de Medrano. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2006_01571 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Dga models for moment-angle complexes Franz, Matthias Algebraic Topology 57S12 (Primary), 16E45, 55N10 (Secondary) 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 López de Medrano. |
| title | Dga models for moment-angle complexes |
| topic | Algebraic Topology 57S12 (Primary), 16E45, 55N10 (Secondary) |
| url | https://arxiv.org/abs/2006.01571 |