Abstract
Given an \(\frac{n}{3}\)-neighbourly simplicial complex K on vertex set [n], we show that the moment-angle complex \(\mathcal Z_K\) is a co-H-space if and only if K satisfies a homotopy analogue of the Golod property. This gives a sufficient condition for the integral formality of \(\mathcal Z_K\).
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To the memory of Sam Gitler, who thought us to how love mathematics and enjoy life.
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Beben, P., Grbić, J. \(\frac{n}{3}\)-neighbourly moment-angle complexes and their unstable splittings. Bol. Soc. Mat. Mex. 23, 141–152 (2017). https://doi.org/10.1007/s40590-016-0092-z
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DOI: https://doi.org/10.1007/s40590-016-0092-z
Keywords
- Polyhedral product
- Moment-angle complex
- Toric topology
- Stanley-Reisner ring
- Golod ring
- Neighbourly simplicial complexes