Polystability of Stokes representations and differential Galois groups

Abstract

Polystability of (twisted) Stokes representations (i.e. wild monodromy representations) will be characterised, in terms of the corresponding differential Galois group (generalising the Zariski closure of the monodromy group in the tame case). This extends some results of Richardson. Further, the intrinsic approach to such results will be established, in terms of reductions of Stokes local systems.

24 pages, accepted version. Link to Martinet-Ramis wild ${\pi }_1$ clarified p.16

References in corpus (6)

• Symplectic Manifolds and Isomonodromic Deformations
• Quasi-Hamiltonian Geometry of Meromorphic Connections
• Stokes Matrices and Poisson Lie Groups
• Twisted wild character varieties
• On Character Varieties with Non-Connected Structure Groups
• Twisted local wild mapping class groups: configuration spaces, fission trees and complex braids