Rabinowitz Fukaya categories as cluster categories
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.
Fields of Study & Subjects
Algebraic structures and combinatorial models
Homotopy and Cohomology in Algebraic Topology
Advanced Algebra and Geometry
Publication details
- Journal / source
- Comptes Rendus Mathématique
- Volume
- 364
- Issue
- G3
- Pages
- 563–582
- Publication date
- 16 September 2026
- Language
- EN