Topology of the Stokes phenomenon
Résumé
Several intrinsic topological ways to encode connections on vector bundles on smooth complex algebraic curves will be described. In particular the notion of {\em Stokes decompositions} will be formalised, as a convenient intermediate category between the Stokes filtrations and the Stokes local systems/wild monodromy representations. The main result establishes a new simple characterisation of the Stokes decompositions.
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boalch_2021_topology of the stokes phenomenon (1).pdf (4.03 Mo)
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