V. Tarasov

activity

19922023

most citedGeometry of q-Hypergeometric Functions as a Bridge between Yangians and Quantum Affine Algebras

91 citations · 871 across the 69 of their papers we have counts for

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Showing 2017 · math.AGShow all

2 papers · 2 filters

math.AG2017★ 1 cited

$q$ -Hypergeometric solutions of quantum differential equations, quantum Pieri rules, and Gamma theorem

Vitaly Tarasov, Alexander Varchenko

We describe \, $q$ -hypergeometric solutions of the equivariant quantum differential equations and associated qKZ difference equations for the cotangent bundle $T^{*} F_{λ}$ of a partial…

math.AG2017★ 11 cited

Elliptic and K-theoretic stable envelopes and Newton polytopes

R. Rimányi, V. Tarasov, A. Varchenko

In this paper we consider the cotangent bundles of partial flag varieties. We construct the $K$ -theoretic stable envelopes for them and also define a version of the elliptic stable…

q-Hypergeometric solutions of quantum differential equations, quantum Pieri rules, and Gamma theorem

Elliptic and K-theoretic stable envelopes and Newton polytopes

$q$ -Hypergeometric solutions of quantum differential equations, quantum Pieri rules, and Gamma theorem