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arXiv · 2406.15915

Rabinowitz Fukaya categories as cluster categories

Yanki Lekili·Kazushi Ueda
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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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Yanki Lekili, Kazushi Ueda. 2024-06-22. Rabinowitz Fukaya categories as cluster categories. https://arxiv.org/abs/2406.15915

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