A Golod complex with non-suspension moment-angle complex
Algebraic Topology
2017-04-27 v4 Commutative Algebra
Combinatorics
Abstract
It could be expected that the moment-angle complex associated with a Golod simplicial complex is homotopy equivalent to a suspension space. In this paper, we provide a counter example to this expectation. We have discovered this complex through the studies of the Golod property of the Alexander dual of a join of simplicial complexes, and that of a union of simplicial complexes.
Cite
@article{arxiv.1601.03472,
title = {A Golod complex with non-suspension moment-angle complex},
author = {Kouyemon Iriye and Tatsuya Yano},
journal= {arXiv preprint arXiv:1601.03472},
year = {2017}
}
Comments
22 pages