Geodesic
A∞–resolutions and the Golod property for monomial rings
Frankhuizen, Robin1
1 School of Mathematics, University of Southampton, Southampton, United Kingdom
Algebraic and Geometric Topology, Tome 18 (2018) no. 6, pp. 3403-3424

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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

DOI : 10.2140/agt.2018.18.3403
Classification : 13D07, 13D40, 16E45, 55S30
Keywords: Golod ring, Poincaré series, A-infinity algebra, Massey products

Frankhuizen, Robin 1

1 School of Mathematics, University of Southampton, Southampton, United Kingdom 
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Frankhuizen, Robin. A∞–resolutions and the Golod property for monomial rings. Algebraic and Geometric Topology, Tome 18 (2018) no. 6, pp. 3403-3424. doi: 10.2140/agt.2018.18.3403

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