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 objects and basic 2-term silting objects.
Calabi-Yau structures on Drinfeld quotients and Amiot's conjecture
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
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.
citation-role summary
background 1
citation-polarity summary
fields
math.RT 1years
2025 1verdicts
ACCEPT 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
From objects finitely presented by a rigid object in a triangulated category to 2-term complexes
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 objects and basic 2-term silting objects.