A twisted sl2(C) isomonodromic-isospectral correspondence
Abstract
The aim of this article is to generalize the isomonodromic-isospectral correspondence for meromorphic connections of rank 2 over P1 to the twisted case. More specifically, the construction of the isospectral approach is provided for the Painlevé I hierarchy, then two maps are constructed, one linking the sets of isomonodromic and isospectral Hamiltonians, another linking the set of apparent singularities to a set of isospectral coordinates.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Geometric Analysis and Curvature Flows
Geometric and Algebraic Topology
Publication details
- Journal / source
- Journal of Mathematical Physics
- Volume
- 67
- Issue
- 4
- Publication date
- 1 April 2026
- Language
- EN