12 citations · 25 across the 3 of their papers we have counts for
7 papers
Frobenii on Morava -theoretical quantum groups
Yaping Yang, Gufang Zhao
In this paper, we study a family of new quantum groups labelled by a prime number and a natural number constructed using the Morava -theories. We define the quantum Frob…
Cohomological Hall algebras, vertex algebras and instantons
Miroslav Rapcak, Yan Soibelman, Yaping Yang +1
We define an action of the (double of) Cohomological Hall algebra of Kontsevich and Soibelman on the cohomology of the moduli space of spiked instantons of Nekrasov. We identify th…
Loop Grassmannians of quivers and affine quantum groups
Ivan Mirkovic, Yaping Yang, Gufang Zhao
We construct for each choice of a quiver , a cohomology theory and a poset a "loop Grassmannian" . This generalizes loop Grassmannians of semisimple…
The PBW theorem for the affine Yangians
Yaping Yang, Gufang Zhao
We prove that the Yangian associated to an untwisted symmetric affine Kac-Moody Lie algebra is isomorphic to the Drinfeld double of a shuffle algebra. The latter is constructed by…
How to sheafify an elliptic quantum group
Yaping Yang, Gufang Zhao
We give an introductory survey of the results in arXiv: 1708.01418. We discuss a sheafified elliptic quantum group associated to any symmetric Kac-Moody Lie algebra. The sheafifica…
Quiver varieties and elliptic quantum groups
Yaping Yang, Gufang Zhao
We define a sheafified elliptic quantum group for any symmetric Kac-Moody Lie algebra. This definition is naturally obtained from the elliptic cohomological Hall algebra of a prepr…