S. Shakirov

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20062026

most citedMatrix Model Conjecture for Exact BS Periods and Nekrasov Functions

138 citations · 1.8k across the 53 of their papers we have counts for

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math.QA2026

Quantum Periods from TBA and Continued Fractions

Alexander Chervov, Ilia Gaiur, Sergey Galkin +3

We consider quantum A-periods of local $P^{1} \times P^{1}$ , or equivalently the generating function of constant terms for powers of the Laurent polynomial $x + x^{…

math.QA2023

An Elliptic Generalization of $A_{1}$ Spherical DAHA at $K = 2$

S. Arthamonov, Sh. Shakirov

We construct an algebra that is an elliptic generalization of $A_{1}$ spherical DAHA acting on its finite-dimensional module at $t = - q^{- K /2}$ with $K = 2$ . We prove that $PSL(2,\mathbb…

math.QA2017★ 8 cited

Genus Two Generalization of $A_{1}$ spherical DAHA

S. Arthamonov, Sh. Shakirov

We consider a system of three commuting difference operators in three variables $x_{12}, x_{13}, x_{23}$ with two generic complex parameters $q, t$ . This system and its eigenfunctions…

Quantum Periods from TBA and Continued Fractions

An Elliptic Generalization of A1​ Spherical DAHA at K=2

Genus Two Generalization of A1​ spherical DAHA

An Elliptic Generalization of $A_{1}$ Spherical DAHA at $K = 2$

Genus Two Generalization of $A_{1}$ spherical DAHA