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arXiv · 1903.12612

Topology of the Stokes phenomenon

Philip Boalch
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Abstract

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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Philip Boalch. 2019-03-29. Topology of the Stokes phenomenon. https://arxiv.org/abs/1903.12612

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