Derived equivalences constructed by Milnor patching

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.

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Publication Details

Journal
Journal of Noncommutative Geometry
Published
2025-02-03
DOI
https://doi.org/10.4171/jncg/611
Citations
1
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
4.09

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article

Derived equivalences constructed by Milnor patching

Changchang Xi, Wei Hu
1 citations
Journal of Noncommutative Geometry
Geometric and Algebraic Topology
4.09
article

Derived equivalences constructed by Milnor patching

Changchang Xi, Wei Hu
article en
1 citations

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.

Journal of Noncommutative GeometryVol. 19(3)
Beijing Normal University (CN), Shaanxi Normal University (CN), Capital Normal University (CN)
Alexander von Humboldt-Stiftung, National Natural Science Foundation of China, Universität Stuttgart
Openalex Percentile: Top 13%
Geometric and Algebraic Topology
4.09
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