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arXiv · 2303.11656

Posets and Fractional Calabi-Yau Categories

Frédéric Chapoton
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Abstract

This article deals with a relationship between derived categories of modules over some partially ordered sets and triangulated categories arising from quasi-homogeneous isolated singularities. It produces heuristics for the existence of derived equivalences between posets, using the geometric category as an auxiliary intermediate. The notion of Weight plays a central role as a simple footprint of the derived categories under consideration.

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Frédéric Chapoton. 2023-10-20. Posets and Fractional Calabi-Yau Categories. https://arxiv.org/abs/2303.11656

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