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math.RT2023★ 1 cited
On Amiot's conjecture
Bernhard Keller, Junyang Liu
In a survey paper in 2011, Amiot proposed a conjectural characterisation of the cluster categories which were conceived in the mid 2000s to lift the combinatorics of Fomin-Zelevins…
math.RT2023
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…
math.RT2023★ 1 cited
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…