Two-dimensional Golod complexes
Algebraic Topology
2020-10-15 v1 Combinatorics
Abstract
We characterize two-dimensional Golod complexes combinatorially by vertex-breakability and topologically by the fat-wedge filtration of a polyhedral product. Applying the characterization, we consider a difference between Golodness over fields and rings, which enables us to give a two-dimensional simple Golod complex over any field such that the corresponding moment-angle complex is not a suspension.
Keywords
Cite
@article{arxiv.2010.06753,
title = {Two-dimensional Golod complexes},
author = {Kouyemon Iriye and Daisuke Kishimoto},
journal= {arXiv preprint arXiv:2010.06753},
year = {2020}
}
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13 pages