508 citations · 1.3k across the 47 of their papers we have counts for
56 papers
Relative Calabi-Yau structures and ice quivers with potential
Bernhard Keller, Junyang Liu
In 2015, Van den Bergh showed that complete -Calabi-Yau algebras over an algebraically closed field of characteristic are equivalent to Ginzburg dg algebras associated with…
Relative cluster categories and Higgs categories with infinite-dimensional morphism spaces
Chris Fraser, Bernhard Keller, Yilin Wu
Cluster algebras *with coefficients* are important since they appear in nature as coordinate algebras of varieties like Grassmannians, double Bruhat cells, unipotent cells, ... . T…
Calabi-Yau structures on Drinfeld quotients and Amiot's conjecture
Bernhard Keller, Junyang Liu
In 2009, Claire Amiot gave a construction of Calabi-Yau structures on Verdier quotients. We sketch how to lift it to the dg setting. We use this construction as an important step i…
A refined multiplication formula for cluster characters
Bernhard Keller, Pierre-Guy Plamondon, Fan Qin
We obtain a multiplication formula for cluster characters on (stably) 2-Calabi-Yau (Frobenius or) triangulated categories. This formula generalizes those known for arbitrary pairs…
The Donovan--Wemyss Conjecture via the Derived Auslander--Iyama Correspondence
Gustavo Jasso, Bernhard Keller, Fernando Muro
We provide an outline of the proof of the Donovan--Wemyss Conjecture in the context of the Homological Minimal Model Program for threefolds. The proof relies on results of August,…
The Derived Auslander-Iyama Correspondence
Gustavo Jasso, Bernhard Keller, Fernando Muro
We work over a perfect field. Recent work of the third-named author established a Derived Auslander Correspondence that relates finite-dimensional self-injective algebras that are…