27 citations · 27 across the 5 of their papers we have counts for
5 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…
A level-one representation of the quantum affine superalgebra $\U_q(\hat{\frak{sl}}(M+1|N+1))$
K. Kimura, J. Shiraishi, J. Uchiyama
A level-one representation of the quantum affine superalgebra $\U_q(\hat{\frak{sl}}(M+1|N+1))$ and vertex operators associated with the fundamental representations are constructed…