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20172025
most citedSingular modules for affine Lie algebras, and applications to irregular WZNW conformal blocks

8 citations · 25 across the 13 of their papers we have counts for

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6 papers · 1 filter

math.QA2025

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…

math.QA2024

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…

math.QA2020★ 6 cited

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…

math.QA2020★ 8 cited

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…

math.QA2019★ 3 cited

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…

math.QA2017

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…