4 citations · 7 across the 10 of their papers we have counts for
10 papers
Fourier transform of irregular connections on and classification of Argyres-Douglas theories
Jean Douçot
We give a mathematical interpretation of the dualities between type Argyres-Douglas theories recently obtained by Beem, Martone, Sacchi, Singh and Stedman, building on work of…
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…
Twisted local G-wild mapping class groups
Jean Douçot, Gabriele Rembado, Daisuke Yamakawa
We consider isomonodromic-deformation parameters of irregular-singular connections on principal G-bundles over complex projective curves: for any connected reductive G, pole order,…
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…
Local wild mapping class groups and cabled braids
Jean Douçot, Gabriele Rembado, Matteo Tamiozzo
We will define and study some generalisations of pure -braid groups that occur in the theory of connections on curves, for any complex reductive Lie algebra $\mathfra…
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…