8 citations · 25 across the 13 of their papers we have counts for
13 papers
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 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,…
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…
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…
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…
A colourful classification of (quasi) root systems and hyperplane arrangements
Gabriele Rembado
We introduce a class of graphs with coloured edges to encode subsystems of the classical root systems, which in particular classify them up to equivalence. We further use the graph…
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…
-symmetric hyperkähler quantisation
Jørgen Ellegaard Andersen, Alessandro Malusà, Gabriele Rembado
We provide a new general scheme for the geometric quantisation of -symmetric hyper-Kähler manifolds, considering Hilbert spaces of holomorphic sections with r…
Genus-one complex quantum Chern--Simons theory
Jørgen Ellegaard Andersen, Alessandro Malusà, Gabriele Rembado
We consider the geometric quantisation of Chern--Simons theory for closed genus-one surfaces and semisimple complex groups. First we introduce the natural complexified analogue of…
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…
Symmetries of the Simply-Laced Quantum Connections and Quantisation of Quiver Varieties
Gabriele Rembado
We will exhibit a group of symmetries of the simply-laced quantum connections, generalising the quantum/Howe duality relating KZ and the Casimir connection. These symmetries arise…
Simply-laced quantum connections generalising KZ
Gabriele Rembado
We construct a new family of flat connections generalising the KZ connection, the Casimir connection and the dynamical connection. These new connections are attached to simply-lace…