Derived equivalences from mutations of quivers with potential

Derived equivalences from mutations of quivers with potential
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DOI:
10.1016/j.aim.2010.09.019
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发表时间:
2009-06
影响因子:
1.7
通讯作者:
B. Keller;D. Yang
B. Keller;D. Yang
中科院分区:
数学1区
文献类型:
--
作者:
B. Keller;D. Yang

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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.我们的方法与 Iyama-Reiten 的方法相关,“科苏尔对偶”与 Kontsevich-Soibelman 的方法相关。它改进了 Vitória 之前的工作。在附录 A 中,第一作者研究了某些伪紧 dg 代数的伪紧派生范畴。
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 Vitória. In Appendix A, the first-named author studies pseudo-compact derived categories of certain pseudo-compact dg algebras.