JournalsjncgVol. 19, No. 3pp. 1103–1137

Derived equivalences constructed by Milnor patching

  • Wei Hu

    Beijing Normal University, China

  • Changchang Xi

    Capital Normal University, Beijing, China; Shaanxi Normal University, Xi’an, China
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Abstract

New derived equivalences of algebras are constructed from given ones by the pullbacks of tilting complexes. This leads to three explicit constructions of derived equivalences by gluing vertices, unifying arrows and identifying socle elements.

Cite this article

Wei Hu, Changchang Xi, Derived equivalences constructed by Milnor patching. J. Noncommut. Geom. 19 (2025), no. 3, pp. 1103–1137

DOI 10.4171/JNCG/611