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arXiv · 1803.03582

Weighted quivers

Kiyoshi Igusa·Moses Kim
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Abstract

A "weight" on a quiver $Q$ with values in a group $G$ is a function which assigns an element of $G$ for each arrow in $Q$. This paper shows that the essential steps in the mutation of quivers with potential [DWZ] goes through with weights provided that the weights on each cycle in the potential have trivial product. This gives another proof of the sign coherence of $c$-vectors. We also classify all weights on tame quivers.

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Kiyoshi Igusa, Moses Kim. 2018-03-09. Weighted quivers. https://arxiv.org/abs/1803.03582

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