508 citations · 1.3k across the 47 of their papers we have counts for
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Derived invariance of the Tamarkin--Tsygan calculus of an algebra
Marco Antonio Armenta, Bernhard Keller
We prove that derived equivalent algebras have isomorphic differential calculi in the sense of Tamarkin--Tsygan.
Cluster categories and rational curves
Zheng Hua, Bernhard Keller
We study rational curves on smooth complex Calabi--Yau threefolds via noncommutative algebra. By the general theory of derived noncommutative deformations due to Efimov, Lunts and…
Erratum to "Deformed Calabi-Yau completions"
Bernhard Keller
We correct an error and some inaccuracies that occurred in "Deformed Calabi-Yau completions''. The most important point is that, as pointed out by W. K. Yeung, to show that the def…
Singular Hochschild cohomology via the singularity category
Bernhard Keller
We show that for a noetherian algebra whose bounded dg derived category is smooth, the singular Hochschild cohomology (=Tate--Hochschild cohomology) is isomorphic, as a graded…
A remark on a theorem by C. Amiot
Bernhard Keller
C. Amiot has classified the connected triangulated k-categories with finitely many isoclasses of indecomposables satisfying suitable hypotheses. We remark that her proof shows that…