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arXiv · 1905.07713

Symmetries of the Simply-Laced Quantum Connections and Quantisation of Quiver Varieties

Gabriele Rembado
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Abstract

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 as a quantisation of the classical symmetries of the simply-laced isomonodromy systems, which in turn generalise the Harnad duality. The quantisation of the classical symmetries involves constructing the quantum Hamiltonian reduction of the representation variety of any simply-laced quiver, both in filtered and in deformation quantisation.

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BibTeXRIS

Gabriele Rembado. 2019-05-19. Symmetries of the Simply-Laced Quantum Connections and Quantisation of Quiver Varieties. https://doi.org/10.3842/sigma.2020.103

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