4 citations · 7 across the 10 of their papers we have counts for
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New nonabelian Hodge graphs from twisted irregular connections
Jean Douçot
It is known that any meromorphic connection on the Riemann sphere determines a finite diagram encoding its global Cartan matrix, and that it is invariant under the Fourier-Laplace…
Simplification of exponential factors of irregular connections on
Jean Douçot
We give an explicit algorithm to reduce the ramification order of any exponential factor of an irregular connection on , using the same types of basic operations as in…
Basic Representations of Genus Zero Nonabelian Hodge Spaces
Jean Douçot
In some previous work, we defined an invariant of genus zero nonabelian Hodge spaces taking the form of a diagram. Here, enriching the diagram by fission data to obtain a refined i…
Moduli spaces of untwisted wild Riemann surfaces
Jean Douçot, Gabriele Rembado, Matteo Tamiozzo
We construct moduli stacks of wild Riemann surfaces in the (pure) untwisted case, for any complex reductive structure group, and we define the corresponding (pure) wild mapping cla…
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…
Topology of irregular isomonodromy times on a fixed pointed curve
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 sys…
Diagrams and irregular connections on the Riemann sphere
Jean Douçot
We define a diagram associated to any algebraic connection on a vector bundle on a Zariski open subset of the Riemann sphere, extending the definition of Boalch-Yamakawa to the gen…