Monodromy of the equivariant quantum differential equation of the cotangent bundle of a Grassmannian

DOI10.1007/s00029-024-00916-8arXiv2212.09011MaRDI QIDQ6201778

Alexander Varchenko, Vitaly O. Tarasov

Publication date: 21 February 2024

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.09011

zbMATH Keywords

Grassmannianquantum differential equation\(q\)-hypergeometric solution

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Other hypergeometric functions and integrals in several variables (33C70) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Cites Work

• Unnamed Item
• Quantum cohomology of the cotangent bundle of a flag variety as a Yangian Bethe algebra
• Quantum cohomology of the Springer resolution
• Geometric \(q\)-hypergeometric functions as a bridge between Yangians and quantum affine algebras
• Equivariant \(K\)-theory and equivariant cohomology
• Landau-Ginzburg mirror, quantum differential equations and \textit{qKZ} difference equations for a partial flag variety
• Hypergeometric solutions of the quantum differential equation of the cotangent bundle of a partial flag variety
• Partial flag varieties, stable envelopes, and weight functions
• \(q\)-hypergeometric solutions of quantum differential equations, quantum Pieri rules, and Gamma theorem
• Representation Theory and Complex Geometry
• Lectures on K-theoretic computations in enumerative geometry
• Elliptic stable envelopes
• Quantum groups and quantum cohomology