Rabinowitz Fukaya categories as cluster categories
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.
Authors
- Kazushi Ueda (ORCID: https://orcid.org/0000-0001-9568-0827)
- Yankı Lekili
Institutions
- Imperial College London (GB)
- The University of Tokyo (JP)
Publication Details
- Journal
- Comptes Rendus Mathématique
- Published
- 2026-09-16
- DOI
- https://doi.org/10.5802/crmath.791
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00