117 citations · 600 across the 27 of their papers we have counts for
19 papers · 1 filter
Counting the fission trees and nonabelian Hodge graphs (untwisted case)
Philip Boalch
Any algebraic connection on a vector bundle on a smooth complex algebraic curve determines an irregular class and in turn a fission tree at each puncture. The fission trees are the…
Polystability of Stokes representations and differential Galois groups
Philip Boalch, Daisuke Yamakawa
Polystability of (twisted) Stokes representations (i.e. wild monodromy representations) will be characterised, in terms of the corresponding differential Galois group (generalising…
Twisted local wild mapping class groups: configuration spaces, fission trees and complex braids
Philip Boalch, Jean Douçot, Gabriele Rembado
Following the completion of the algebraic construction of the Poisson wild character varieties (B.--Yamakawa, 2015) one can consider their natural deformations, generalising both t…
Diagrams for nonabelian Hodge spaces on the affine line
Philip Boalch, Daisuke Yamakawa
In this announcement a diagram will be defined for each nonabelian Hodge space on the affine line.
Topology of the Stokes phenomenon
Philip Boalch
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 decompositi…
Wild character varieties, meromorphic Hitchin systems and Dynkin diagrams
Philip Boalch
The theory of Hitchin systems is something like a "global theory of Lie groups", where one works over a Riemann surface rather than just at a point. We'll describe how one can take…