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Derived equivalences from mutations of quivers with potential
- Source :
-
Advances in Mathematics . Feb2011, Vol. 226 Issue 3, p2118-2168. 51p. - Publication Year :
- 2011
-
Abstract
- Abstract: 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. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00018708
- Volume :
- 226
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Advances in Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 55488563
- Full Text :
- https://doi.org/10.1016/j.aim.2010.09.019