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arXiv · 2311.16859

Symplectic higher Auslander correspondence for type A

Ilaria Di Dedda
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Abstract

We prove that the Fukaya-Seidel categories of a certain family of singularities on $\mathbb{C}^d$ are equivalent to the perfect derived categories of higher Auslander algebras of Dynkin type A. We relate these to the Fukaya-Seidel categories of Brieskorn-Pham singularities and to the partially wrapped Fukaya categories considered by Dyckerhoff-Jasso-Lekili. We provide a symplectic interpretation to higher Auslander correspondence of type A in terms of Fukaya-Seidel categories of Lefschetz fibrations.

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Ilaria Di Dedda. 2023-11-28. Symplectic higher Auslander correspondence for type A. https://arxiv.org/abs/2311.16859

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