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Rabinowitz Fukaya categories as cluster categories

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arxiv 2406.15915 v2 pith:5AV74V7G submitted 2024-06-22 math.AG math.SG

Yanki Lekili , Kazushi Ueda This is my paper · ORCID
classification math.AGmath.SG
keywords categoriesrabinowitzfukayahomologymilnorpolynomialsallowsbrieskorn--pham
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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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Cited by 1 Pith paper

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  1. The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures

    math.RT 2025-09 conditional novelty 7.0 of 10

    The Auslander-Iyama correspondence is extended to bimodule right Calabi-Yau dg algebras via a new Massey bimodule cohomology, with an obstruction (BV operator on universal Massey product) and a first non-liftable example.

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