The Arc-Floer conjecture for plane curves
Abstract
In arXiv:1911.08213 it was conjectured that the compactly supported cohomology of the $m$-th restricted contact locus of an isolated hypersurface singularity coincides, up to a shift, with the Floer cohomology of the $m$-th iterate of the monodromy of the Milnor fiber. In this paper we give an affirmative answer to this conjecture in the case of plane curves.
Fields of Study & Subjects
Geometric and Algebraic Topology
Algebraic Geometry and Number Theory
Botulinum Toxin and Related Neurological Disorders
Publication details
- Journal / source
- Journal of Differential Geometry
- Publisher
- International Press of Boston
- Volume
- 133
- Issue
- 2
- Pages
- 155-205
- Publication date
- 13 May 2026
- Language
- EN