Calabi-Yau structures on Drinfeld quotients and Amiot's conjecture
arXiv:2302.03681 · doi:10.5802/crmath.541
Abstract
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.
v1: 8 pages; v2: minor changes, accepted for publication in Comptes Rendus Mathématique; v3: added acknowledgment and reference to expanded version; v4: minor changes, appeared in Comptes Rendus Mathématique