Minimally non-Golod face rings and Massey products
Algebraic Topology
2023-02-14 v1 Commutative Algebra
Combinatorics
Abstract
We give a correct statement and a complete proof of the criterion obtained by Grbi\'c, Panov, Theriault and Wu for the face ring of a simplicial complex to be Golod over a field . (The original argument depended on the main result of a paper by Berglund and J\"ollenbeck, which was shown to be false by Katth\"an.) We also construct an example of a minimally non-Golod complex such that the cohomology of the corresponding moment-angle complex has trivial cup product and a non-trivial triple Massey product.
Keywords
Cite
@article{arxiv.2201.12779,
title = {Minimally non-Golod face rings and Massey products},
author = {Ivan Limonchenko and Taras Panov},
journal= {arXiv preprint arXiv:2201.12779},
year = {2023}
}
Comments
3 pages