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math.RT2018
The bounded derived categories of the Tamari lattices are fractionally Calabi-Yau
Baptiste Rognerud
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 proo…
math.CO2018
On derived equivalences for categories of generalized intervals of a finite poset
Frederic Chapoton, Sefi Ladkani, Baptiste Rognerud
We study two constructions related to the intervals of finite posets. The first one is a poset. The second one is more complicated. Loosely speaking it can be seen as a poset with…
math.CO2018★ 6 cited
Exceptional and modern intervals of the Tamari lattice
Baptiste Rognerud
In this article we use the theory of interval-posets recently introduced by Ch{â}tel and Pons in order to describe some interesting families of intervals in the Tamari lattices. Th…