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Calabi-Yau structures on Drinfeld quotients and Amiot's conjecture

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arxiv 2302.03681 v4 pith:ZIB77EZL submitted 2023-02-07 math.RT math.AGmath.KTmath.RA

Calabi-Yau structures on Drinfeld quotients and Amiot's conjecture

Bernhard Keller , Junyang Liu This is my paper
classification math.RT math.AGmath.KTmath.RA
keywords calabi-yauamiotconjectureconstructionquotientsstructurescategoriesclaire
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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 in an outline of the proof of her conjecture on the structure of 2-Calabi-Yau triangulated categories with a cluster-tilting object.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures

    math.RT 2025-09 conditional novelty 7.0

    The Auslander-Iyama correspondence is extended to bimodule right Calabi-Yau dg algebras via a new Massey bimodule cohomology, with an obstruction (BV operator on universal Massey product) and a first non-liftable example.

  2. From objects finitely presented by a rigid object in a triangulated category to 2-term complexes

    math.RT 2025-09 accept novelty 6.0

    For a rigid object M, the presentation functor P from pr(M) to 2-term complexes over End(M) is full, dense, detects extriangles, and induces a mutation-commuting bijection between basic relative cluster-tilting object...