Hypergeometric solutions of the quantum differential equation of the cotangent bundle of a partial flag variety

2013/01/12 by V. Tarasov, Tarasov, V., Alexander Varchenko +2
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math-ph #math.AG #math.MP #math.QA #math.RT

paper · pdf · doi:10.48550/arxiv.1301.2705

Latex, 19 pages. arXiv admin note: text overlap with arXiv:1212.6240

arxiv created 2013/01/12 · openalex publication_date 2013/01/12 · arxiv updated 2013/01/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe hypergeometric solutions of the quantum differential equation of the cotangent bundle of a gl_n partial flag variety. These hypergeometric solutions manifest the Landau-Ginzburg mirror symmetry for the cotangent bundle of a partial flag variety.

Citations

• Partial flag varieties, stable envelopes and weight functions

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