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Article Dans Une Revue Advances in Mathematics Année : 2021

The bounded derived categories of the Tamari lattices are fractionally Calabi-Yau

Résumé

We prove that the bounded derived category of the incidence algebra of the Tamari lattice is fractionally Calabi-Yau, giving a positive answer to a conjecture of Chapoton. The proof involves a combinatorial description of the Serre functor of this derived category on a sufficiently nice family of indecomposable objects.
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Dates et versions

hal-03481187 , version 1 (15-12-2021)

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Baptiste Rognerud. The bounded derived categories of the Tamari lattices are fractionally Calabi-Yau. Advances in Mathematics, 2021, 389, pp.107885. ⟨10.1016/j.aim.2021.107885⟩. ⟨hal-03481187⟩
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