Some new examples of non-degenerate quiver potentials

Michel Van Den Bergh; Louis De Thanhoffer De Volcsey

Some new examples of non-degenerate quiver potentials

Michel Van Den Bergh, Louis De Thanhoffer De Volcsey

Research output: Contribution to journal › Article › peer-review

Abstract

We prove a technical result which allows us to establish the non-degeneracy of potentials on quivers in some previously unknown cases. Our result applies to McKay quivers and also to potentials derived from geometric helices on Del Pezzo surfaces. On the other hand we also give an example of a skew group ring with a degenerate potential. This shows that for 3-CY orders Iyama-Reiten mutations cannot always be iterated indefinitely.

Original language	English
Pages (from-to)	4672-4686
Number of pages	15
Journal	International Mathematics Research Notices
Volume	20
Publication status	Published - 1 Jan 2013

Keywords

quiver potential

Cite this

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AB - We prove a technical result which allows us to establish the non-degeneracy of potentials on quivers in some previously unknown cases. Our result applies to McKay quivers and also to potentials derived from geometric helices on Del Pezzo surfaces. On the other hand we also give an example of a skew group ring with a degenerate potential. This shows that for 3-CY orders Iyama-Reiten mutations cannot always be iterated indefinitely.

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SP - 4672

EP - 4686

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

ER -

Some new examples of non-degenerate quiver potentials

Abstract

Keywords

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