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arXiv · 1807.08503

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

Baptiste Rognerud
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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. 2018-07-23. The bounded derived categories of the Tamari lattices are fractionally Calabi-Yau. https://arxiv.org/abs/1807.08503

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