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

Published 23 Jul 2018 in math.RT, math.CO, and math.CT | (1807.08503v2)

Abstract: 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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Baptiste Rognerud

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