8 papers
Wild orbits and generalised singularity modules: stratifications and quantisation
Damien Calaque, Giovanni Felder, Gabriele Rembado +1
We study truncated gauge-orbits through principal parts of irregular-singular connection germs, in the untwisted/unramified setting: for any connected complex reductive structure g…
Wild genus-zero quantum de Rham spaces
Matthew Chaffe, Gabriele Rembado, Daisuke Yamakawa
The wild de Rham spaces parameterize isomorphism classes of (stable) meromorphic connections, defined on principal bundles over wild Riemann surfaces. Working on the Riemann sphere…
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…
Singular modules for affine Lie algebras, and applications to irregular WZNW conformal blocks
Giovanni Felder, Gabriele Rembado
We give a mathematical definition of spaces of irregular vacua/covacua in genus zero, for any simple Lie algebra, working at generic noncritical level. This uses coinvariants of af…