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arXiv · 1001.4765

Perverse equivalences, BB-tilting, mutations and applications

Sefi Ladkani
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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.

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Sefi Ladkani. 2010-01-26. Perverse equivalences, BB-tilting, mutations and applications. https://arxiv.org/abs/1001.4765

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