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Symplectic higher Auslander correspondence for type A by Di Dedda, Ilaria is a scholarly article available to read on EtoBox.

What is Symplectic higher Auslander correspondence for type A about?

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.

Author

Di Dedda, Ilaria

Published

2023

Language

EN