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,
Hyperkahler manifolds and nonabelian Hodge theory of (irregular) curves
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abstract
Short survey based on talk given at the Institut Henri Poincare January 17th 2012, during program on surface groups. The aim was to describe some background results before describing in detail (in subsequent talks) the results of [Boa11c] related to wild character varieties and irregular mapping class groups.
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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,