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arXiv · 1508.02954

Minimal Length Maximal Green Sequences and Triangulations of Polygons

Emily Cormier·Peter Dillery·Jill Resh·Khrystyna Serhiyenko·John Whelan
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Abstract

We use combinatorics of quivers and the corresponding surfaces to study maximal green sequences of minimal length for quivers of type $\mathbb{A}$. We prove that such sequences have length $n+t$, where $n$ is the number of vertices and $t$ is the number of 3-cycles in the quiver. Moreover, we develop a procedure that yields these minimal length maximal green sequences.

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Emily Cormier, Peter Dillery, Jill Resh, Khrystyna Serhiyenko, John Whelan. 2015-08-12. Minimal Length Maximal Green Sequences and Triangulations of Polygons. https://arxiv.org/abs/1508.02954

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