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arXiv · 1503.04675

The existence of a maximal green sequence is not invariant under quiver mutation

Greg Muller
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Abstract

This note provides a quiver which does not admit a maximal green sequence, but which is mutation-equivalent to a quiver which does admit a maximal green sequence. The proof uses the `scattering diagrams' of Gross-Hacking-Keel-Kontsevich to show that a maximal green sequence for a quiver determines a maximal green sequence for any induced subquiver.

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Greg Muller. 2015-03-16. The existence of a maximal green sequence is not invariant under quiver mutation. https://arxiv.org/abs/1503.04675

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