Back to Search Start Over

Derived equivalences from mutations of quivers with potential

Authors :
Keller, Bernhard
Yang, Dong
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