233 citations · 2.4k across the 47 of their papers we have counts for
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Non-stationary difference equation and affine Laumon space III : Generalization to
Hidetoshi Awata, Koji Hasegawa, Hiroaki Kanno +4
In a series of papers we have considered a non-stationary difference equation which was originally discovered for the deformed Virasoro conformal block. The equation involves mass…
Non-Stationary Difference Equation and Affine Laumon Space II: Quantum Knizhnik-Zamolodchikov Equation
Hidetoshi Awata, Koji Hasegawa, Hiroaki Kanno +4
We show that Shakirov's non-stationary difference equation, when it is truncated, implies the quantum Knizhnik-Zamolodchikov (-KZ) equation for $U_{\mathsf v}\bigl(A_1^{(1)}\big…
Macdonald operators and homological invariants of the colored Hopf link
Hidetoshi Awata, Hiroaki Kanno
Using a power sum (boson) realization for the Macdonald operators, we investigate the Gukov, Iqbal, Kozcaz and Vafa (GIKV) proposal for the homological invariants of the colored Ho…