Topology of the Stokes phenomenon
Algebraic Geometry
2021-05-19 v4 Classical Analysis and ODEs
Geometric Topology
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.
Keywords
Cite
@article{arxiv.1903.12612,
title = {Topology of the Stokes phenomenon},
author = {Philip Boalch},
journal= {arXiv preprint arXiv:1903.12612},
year = {2021}
}
Comments
v4: several minor improvements and some more figures added