Homological mirror symmetry for Rabinowitz Fukaya categories of Milnor fibers of Brieskorn-Pham singularities

Abstract

We discuss homological mirror symmetry for Rabinowitz Fukaya categories of Milnor fibers 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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