237 citations · 1.2k across the 58 of their papers we have counts for
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Coulomb branches of quiver gauge theories with symmetrizers
Hiraku Nakajima, Alex Weekes
We generalize the mathematical definition of Coulomb branches of -dimensional SUSY quiver gauge theories in arXiv:1503.03676, arXiv:1601.03686, arXiv:1604.03625 t…
Coproduct for the Yangian of an affine Kac-Moody algebra
Nicolas Guay, Hiraku Nakajima, Curtis Wendlandt
Given an affine Kac-Moody algebra, we explain how to construct a coproduct for its associated Yangian. In order to prove that this coproduct is an algebra homomorphism, we obtain,…
Affine cellularity of quantum affine algebras
Hiraku Nakajima
Cui (arXiv:1405.6441) has shown that the modified quantum affine algebra (more precisely its quotients, BLN algebras) is affine cellular in the sense of Koe…
Instanton moduli spaces and -algebras
Alexander Braverman, Michael Finkelberg, Hiraku Nakajima
We describe the (equivariant) intersection cohomology of certain moduli spaces ("framed Uhlenbeck spaces") together with some structures on them (such as e.g.\ the Poincaré pairing…
Cluster algebras and singular supports of perverse sheaves
Hiraku Nakajima
We propose an approach to Geiss-Leclerc-Schroer's conjecture on the cluster algebra structure on the coordinate ring of a unipotent subgroup and the dual canonical base. It is base…
Quiver varieties and tensor products, II
Hiraku Nakajima
We define a family of homomorphisms on a collection of convolution algebras associated with quiver varieties, which gives a kind of coproduct on the Yangian associated with a symme…