Topology of irregular isomonodromy times on a fixed pointed curve
Algebraic Geometry
2025-04-21 v3 Group Theory
Geometric Topology
Exactly Solvable and Integrable Systems
Abstract
We will define and study (moduli) spaces of deformations of irregular classes on Riemann surfaces, which provide an intrinsic viewpoint on the `times' of irregular isomonodromy systems in general. Our aim is to study the deeper generalisation of the G-braid groups that occur as fundamental groups of such deformation spaces, with particular focus on the generalisation of the full G-braid groups.
Keywords
Cite
@article{arxiv.2208.02575,
title = {Topology of irregular isomonodromy times on a fixed pointed curve},
author = {Jean Douçot and Gabriele Rembado},
journal= {arXiv preprint arXiv:2208.02575},
year = {2025}
}
Comments
v3: small improvements, added references, comments welcome!