Topology of irregular isomonodromy times on a fixed pointed curve

4 Aug 2022  ·  Jean Douçot, Gabriele Rembado ·

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.

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Algebraic Geometry Group Theory Geometric Topology Exactly Solvable and Integrable Systems 20F55, 20F36, 55R10