Properties of triangulated and quotient categories arising from \(n\)-Calabi-Yau triples

DOI10.2140/pjm.2021.310.1zbMath1480.16024arXiv2005.02932OpenAlexW3125247486MaRDI QIDQ2658480

Francesca Fedele

Publication date: 23 March 2021

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.02932

zbMATH Keywords

limits and colimitsquotient categories\((n-1)\)-Calabi-Yau\((n-1)\)-cluster tilting\(n\)-Calabi-Yau tripleHom-spacestruncation triangles

Mathematics Subject Classification ID

Differential graded algebras and applications (associative algebraic aspects) (16E45) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Derived categories, triangulated categories (18G80)

Related Items (1)

Negative cluster categories from simple minded collection quadruples

Cites Work

• Cluster tilting objects in generalized higher cluster categories.
• Cluster categories for algebras of global dimension 2 and quivers with potential.
• An introduction to homological algebra
• Noncommutative projective schemes
• Homological identities for differential graded algebras.
• Auslander-Reiten theory via Brown representability
• Compact corigid objects in triangulated categories and co-\(t\)-structures
• Mutation in triangulated categories and rigid Cohen-Macaulay modules
• Tilting theory and cluster combinatorics.
• Cluster algebras I: Foundations
• Weight structures vs.t-structures; weight filtrations, spectral sequences, and complexes (for motives and in general)
• Silting reduction and Calabi–Yau reduction of triangulated categories
• Co-t-structures: The first decade

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