9 papers
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…
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…
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…
Twisted local G-wild mapping class groups
Jean Douçot, Gabriele Rembado, Daisuke Yamakawa
We consider the isomonodromic deformations of irregular-singular connections defined on principal bundles over complex curves: for any complex reductive structure group G, and any…
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…
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…