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We show that Derksen-Weyman-Zelevinsky's mutations of quivers with potential yield equivalences of suitable 3-Calabi-Yau triangulated categories.
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by same author, Triangulated Categories , Annals of Mathematics Studies, vol. 148, Princeton University Press, Princeton, NJ, 2001
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Sergey Fomin and Andrei Zelevinsky, Cluster algebras. I. Foundations , J. Amer. Math. Soc. 15
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Bo Feng, Amihay Hanany, Yang Hui He, and Amer Iqbal, Quiver theories, soliton spectra and Picard-Lefschetz transformations , J. High Energy Phys. (2003), no. 2, 056, 33, hep-th/0206152
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Robert Marsh, Markus Reineke, and Andrei Zelevinsky, Generalized associahedra via quiver representations , Trans. Amer. Math. Soc. 355
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Subir Mukhopadhyay and Koushik Ray, Seiberg duality as derived equivalence for some quiver gauge theories , J. High Energy Phys. (2004), no. 2, 070, 22 pp. (electronic)
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by same author, Path coalgebras of profinite bound quivers, cotensor coalgebras of bound species and locally nilpotent representations , Colloq. Math. 109
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by same author, Quivers with potentials and their representations I: Mutations , Selecta Mathematica 14
2008
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by same author, Triangulated Calabi-Yau categories , Trends in Representation Theory of Algebras (Zurich) (A. Skowroński, ed.), European Mathematical Society, 2008, pp. 467–489
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Michel Van den Bergh, The signs of Serre duality , Appendix A to R. Bocklandt, Graded Calabi-Yau algebras of dimension 3, Journal of Pure and Applied Algebra 212 (2008), 14–32
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Pierre-Guy Plamondon, Ph. D. thesis in preparation, 2009
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Jorge Vitória, Mutations vs. Seiberg duality , J. Algebra 321
2009
Closest in time.