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arXiv · 1612.02737

A-infinity resolutions and the Golod property for monomial rings

Robin Frankhuizen
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Abstract

Let R=S/I be a monomial ring whose minimal free resolution F is rooted. We describe an A-infinity algebra structure on F. Using this structure, we show that R is Golod if and only if the product on Tor^S(R,k) vanishes. Furthermore, we give a necessary and sufficient combinatorial condition for R to be Golod.

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Robin Frankhuizen. 2016-12-08. A-infinity resolutions and the Golod property for monomial rings. https://doi.org/10.2140/agt.2018.18.3403

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