Symmetries of the simply-laced quantum connections and quantisation of quiver varieties

DOI10.3842/SIGMA.2020.103zbMath1456.81272arXiv1905.07713MaRDI QIDQ2223039

Gabriele Rembado

Publication date: 28 January 2021

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.07713

zbMATH Keywords

quiver varietiesquantum integrable systemsisomonodromic deformationsquantum Hamiltonian reductiondeformation quantisation

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Geometry and quantization, symplectic methods (81S10) Representations of quivers and partially ordered sets (16G20) Deformation quantization, star products (53D55) Formal methods and deformations in algebraic geometry (14D15)

Related Items (1)

Singular modules for affine Lie algebras, and applications to irregular WZNW conformal blocks

Cites Work

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• Riemann-Hilbert for tame complex parahoric connections
• Calogero-Moser systems and representation theory
• Geometric quantization of Chern-Simons gauge theory
• Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent
• Current algebras and Wess-Zumino model in two dimensions
• Dual isomonodromic deformations and moment maps to loop algebras
• Differential equations compatible with KZ equations
• A Kohno-Drinfeld theorem for quantum Weyl groups
• Explicit equivariant quantization on coadjoint orbits of \(\text{GL}(n,\mathbb C)\)
• Quantum coadjoint orbits in \(\mathfrak{gl}(n)\).
• Simply-laced isomonodromy systems
• Deformations of symplectic singularities and orbit method for semisimple Lie algebras
• Simply-laced quantum connections generalising KZ
• Geometry and braiding of Stokes data; fission and wild character varieties
• Symmetries of quantum Lax equations for the Painlevé equations
• Casimir operators and monodromy representations of generalised braid groups
• Quantization of Chern-Simons gauge theory with complex gauge group
• Flat connections and geometric quantization
• Semisimple Representations of Quivers
• Deformations of algebras in noncommutative geometry
• Symplectic manifolds and isomonodromic deformations

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