Perverse equivalences, BB-tilting, mutations and applications

Abstract

We relate the notions of BB-tilting and perverse derived equivalence at a vertex. Based on these notions, we define mutations of algebras, leading to derived equivalent ones. We present applications to endomorphism algebras of cluster-tilting objects in 2-Calabi-Yau categories and to algebras of global dimension at most 2.

26 pages

References in corpus (5)

• On triangulated orbit categories
• Deformed Calabi-Yau Completions
• Derived equivalence classification of m-cluster tilted algebras of type A
• Almost $\mathcal{D}$-split sequences and derived equivalences
• Derived classification of gentle algebras with two cycles

Cited by in corpus (3)

• Mutation classes of certain quivers with potentials as derived equivalence classes
• Derived equivalences from cohomological approximations, and mutations of $\Phi$-Yoneda algebras
• Endomorphism algebras of maximal rigid objects in cluster tubes