Hypergeometric solutions of the quantum differential equation of the cotangent bundle of a partial flag variety
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Publication:2248487
DOI10.2478/s11533-013-0376-8zbMath1294.82016arXiv1301.2705OpenAlexW2147909166WikidataQ115227852 ScholiaQ115227852MaRDI QIDQ2248487
Alexander Varchenko, Vitaly O. Tarasov
Publication date: 26 June 2014
Published in: Central European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1301.2705
PDEs in connection with quantum mechanics (35Q40) Exactly solvable models; Bethe ansatz (82B23) Equivariant homology and cohomology in algebraic topology (55N91) Applications of Lie algebras and superalgebras to integrable systems (17B80)
Related Items
Frobenius-like structure in Gaudin model, Quantum cohomology of the cotangent bundle of a flag variety as a Yangian Bethe algebra, Spaces of quasi-exponentials and representations of the Yangian \(Y(\mathfrak{gl}_N)\), Dynamical and qKZ equations modulo \(p^s\): an example, \(q\)-hypergeometric solutions of quantum differential equations, quantum Pieri rules, and Gamma theorem, Monodromy of the equivariant quantum differential equation of the cotangent bundle of a Grassmannian, Characteristic variety of the Gauss-Manin differential equations of a generic parallelly translated arrangement, Critical set of the master function and characteristic variety of the associated Gauss-Manin differential equations, Dynamical Gelfand–Zetlin algebra and equivariant cohomology of grassmannians, Partial flag varieties, stable envelopes, and weight functions, Landau-Ginzburg mirror, quantum differential equations and \textit{qKZ} difference equations for a partial flag variety, Trigonometric weight functions as \(K\)-theoretic stable envelope maps for the cotangent bundle of a flag variety
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