On reality property of Wronski maps

DOI10.1142/S1793744209000092zbMath1181.81065arXiv0710.5856MaRDI QIDQ1041086

Vitaly O. Tarasov, Alexander Varchenko, Evgenii E. Mukhin

Publication date: 30 November 2009

Published in: Confluentes Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.5856

zbMATH Keywords

Bethe ansatzB. and M. Shapiro conjecturediscrete Wronski map\(XXX\) model

Mathematics Subject Classification ID

Real algebraic sets (14P05) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (12)

Bethe algebra of homogeneous \(XXX\) Heisenberg model has simple spectrum ⋮ Bethe subalgebras of the group algebra of the symmetric group ⋮ Quantum cohomology of the cotangent bundle of a flag variety as a Yangian Bethe algebra ⋮ Metrics with conic singularities and spherical polygons ⋮ Spaces of quasi-exponentials and representations of the Yangian \(Y(\mathfrak{gl}_N)\) ⋮ Completeness of the Bethe Ansatz for the Periodic Isotropic Heisenberg Model ⋮ Reality property of discrete Wronski map with imaginary step ⋮ Disconjugacy and the secant conjecture ⋮ Schubert calculus and representations of the general linear group ⋮ The Secant Conjecture in the Real Schubert Calculus ⋮ Metrics with four conic singularities and spherical quadrilaterals ⋮ A topological proof of the Shapiro-Shapiro conjecture

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