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math.AG2025
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…
math.GT2025
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,…
math.AG2025
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…