Authors compute connected stabilisers of formal normal forms using Levi root system filtrations, stratify orbits by stabiliser conjugacy classes for semisimple residues, and construct quantised affine-Lie-algebra modules extending parabolic Verma and prior singularity modules, plus Shapovalov forms,
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Characterizes polystability of Stokes representations via differential Galois groups, extending Richardson's results, using reductions of Stokes local systems.
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Wild orbits and generalised singularity modules: stratifications and quantisation
Authors compute connected stabilisers of formal normal forms using Levi root system filtrations, stratify orbits by stabiliser conjugacy classes for semisimple residues, and construct quantised affine-Lie-algebra modules extending parabolic Verma and prior singularity modules, plus Shapovalov forms,
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Polystability of Stokes representations and differential Galois groups
Characterizes polystability of Stokes representations via differential Galois groups, extending Richardson's results, using reductions of Stokes local systems.