Deformed Calabi–Yau completions
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Publication:3009281
DOI10.1515/CRELLE.2011.031zbMath1220.18012arXiv0908.3499OpenAlexW2963463995MaRDI QIDQ3009281
Keller, Bernhard, Michel Van den Bergh
Publication date: 23 June 2011
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0908.3499
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Cites Work
- Noncommutative geometry and quiver algebras
- The homotopy theory of dg-categories and derived Morita theory
- The \(A_\infty\) deformation theory of a point and the derived categories of local Calabi-Yaus
- Quivers with potentials and their representations. I: Mutations.
- A cyclic derivative in noncommutative algebra
- On the cyclic homology of exact categories
- A remark on the generalized smashing conjecture
- Existence theorems for dualizing complexes over non-commutative graded and filtered rings
- Invariance and localization for cyclic homology of DG algebras
- DG quotients of DG categories.
- Noncommutative deformations of Kleinian singularities
- Mutation in triangulated categories and rigid Cohen-Macaulay modules
- Tilting theory and cluster combinatorics.
- Cluster algebras I: Foundations
- Algebras and Quadratic Forms
- Cluster-tilted algebras
- Double Poisson algebras
- Acyclic Calabi–Yau categories
- Fomin-Zelevinsky mutation and tilting modules over Calabi-Yau algebras
- Representations of algebras as universal localizations
- Cluster-tilted algebras as trivial extensions
- Quivers with relations arising from clusters (𝐴_{𝑛} case)
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