2 citations · 2 across the 7 of their papers we have counts for
7 papers
Shifted quantum toroidal algebra of type and the Pieri rule of the super Macdonald polynomials
Hiroaki Kanno, Ryo Ohkawa, Jun'ichi Shiraishi
The super Macdonald polynomials indexed by the super partitions form a basis of the level zero super Fock module (combinatorial representation) of the quantum toroidal algebra $\ma…
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…
Super Macdonald polynomials and BPS state counting on the blow-up
Hiroaki Kanno, Ryo Ohkawa, Jun'ichi Shiraishi
We explore the relation of the super Macdonald polynomials and the BPS state counting on the blow-up of , which is mathematically described by framed stable perverse…
-theoretic wall-crossing formulas and multiple basic hypergeometric series
Ryo Ohkawa, Jun'ichi Shiraishi
We study -theoretic integrals over famed quiver moduli via wall-crossing phenomena. We study the chainsaw quiver varieties, and consider generating functions defined by two type…
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…
Residue formula for flag manifold of type from wall-crossing
Ryo Ohkawa
We consider equivariant integrals on flag manifolds of type . Using a computational method inspired by the theory of wall-crossing formulas by Takuro Mochizuki, we re-prove resi…
Non-Stationary Difference Equation and Affine Laumon Space: Quantization of Discrete Painlevé Equation
Hidetoshi Awata, Koji Hasegawa, Hiroaki Kanno +4
We show the relation of the non-stationary difference equation proposed by one of the authors and the quantized discrete Painlevé VI equation. The five-dimensional Seiberg-Witten c…