Rabinowitz Fukaya categories as cluster categories
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.
19 pages. v2: title changed; minor revisions and corrections. Accepted for publication in Comptes Rendus Mathématique