Derived equivalences from mutations of quivers with potential

Details Derived equivalences from mutations of quivers with potential Derived equivalences from mutations of quivers with potential

2009-06-03

arxiv.org/abs/0906.0761v3

Mathematics

Representation Theory

section 2.16 added, 48 pages, with an appendix by B. Keller

Scientific paper

We show that Derksen-Weyman-Zelevinsky's mutations of quivers with potential yield equivalences of suitable 3-Calabi-Yau triangulated categories. Our approach is related to that of Iyama-Reiten and Koszul dual to that of Kontsevich-Soibelman. It improves on previous work by Vitoria. In the appendix, the first-named author studies pseudo-compact derived categories of certain pseudo-compact dg algebras.

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