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math.AG2025
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…
math.AG2025★ 2 cited
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…
math.AG2025★ 4 cited
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…