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Rabinowitz Fukaya categories as cluster categories

2024/06/22 by Yanki Lekili, Lekili, Yanki, Kazushi Ueda +1
#math.AG #math.SG

paper · pdf · doi:10.48550/arxiv.2406.15915

Abstract

We discuss homological mirror symmetry for Rabinowitz Fukaya categories of Milnor fibers of double suspensions of invertible polynomials, and prove it for Brieskorn--Pham polynomials which are not of Calabi--Yau type. This allows a calculation of the Rabinowitz Floer homology of the Milnor fiber as the Hochschild homology of the dg category of equivariant matrix factorizations.

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