Co-t-structures: The first decade

DOI10.1090/conm/716/14425zbMath1423.18043arXiv1603.09379OpenAlexW2963041032MaRDI QIDQ5234926

Peter Jørgensen

Publication date: 7 October 2019

Published in: Surveys in Representation Theory of Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.09379

zbMATH Keywords

truncationhomotopy categorytriangulated categoryderived categoryheartAuslander-Reiten quivert-structuresilting mutationcomplex of modulesco-t-structuresimple minded collectionabelian subcategorysilting subcategoryco-heartsilting quiver

Mathematics Subject Classification ID

History of mathematics in the 21st century (01A61) History of category theory (18-03) Research exposition (monographs, survey articles) pertaining to category theory (18-02)

Related Items (6)

Properties of triangulated and quotient categories arising from \(n\)-Calabi-Yau triples ⋮ T-structures on unbounded twisted complexes ⋮ Co-t-structures, cotilting and cotorsion pairs ⋮ Categorical entropy, (co-)t-structures and ST-triples ⋮ Co-𝑡-structures on derived categories of coherent sheaves and the cohomology of tilting modules ⋮ A representation-theoretic approach to recollements of abelian categories

Cites Work

• Unnamed Item
• Auslander-Buchweitz context and co-\(t\)-structures
• From \(m\)-clusters to \(m\)-noncrossing partitions via exceptional sequences
• Simple objects in the heart of a \(t\)-structure
• Compact corigid objects in triangulated categories and co-\(t\)-structures
• Silting objects, simple-minded collections, \(t\)-structures and co-\(t\)-structures for finite-dimensional algebras.
• Ext-projectives in suspended subcategories
• Silting mutation in triangulated categories
• Weight structures vs.t-structures; weight filtrations, spectral sequences, and complexes (for motives and in general)
• The Hall algebra of a spherical object
• Sparseness of t-structures and negative Calabi-Yau dimension in triangulated categories generated by a spherical object
• Weight Structures and Simple dg Modules for Positive dg Algebras

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