508 citations · 524 across the 3 of their papers we have counts for
6 papers
From triangulated categories to cluster algebras
Philippe Caldero, Bernhard Keller
The cluster category is a triangulated category introduced for its combinatorial similarities with cluster algebras. We prove that a cluster algebra A of finite type can be realize…
On triangulated orbit categories
Bernhard Keller
We show that the category of orbits of the bounded derived category of a hereditary category under a well-behaved autoequivalence is canonically triangulated. This answers a questi…
Hochschild cohomology and derived Picard groups
Bernhard Keller
We interpret Hochschild cohomology as the Lie algebra of the derived Picard group (in the sense of Rouquier-Zimmermann and Yekutieli) and deduce that it is preserved under derived…
Bimodule complexes via strong homotopy actions
Bernhard Keller
We present a new and explicit method for lifting a tilting complex to a bimodule complex. The key ingredient of our method is the notion of a strong homotopy action in the sense of…
Introduction to A-infinity algebras and modules
Bernhard Keller
These are expanded notes of four introductory talks on A-infinity algebras, their modules and their derived categories.
On the cyclic homology of ringed spaces and schemes
Bernhard Keller
We prove that the cyclic homology of a scheme with an ample line bundle coincides with the cyclic homology of its category of algebraic vector bundles. As a byproduct of the proof,…