12 citations · 14 across the 3 of their papers we have counts for
6 papers · 1 filter
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 elliptic Casimir connection of a simple Lie algebra
Valerio Toledano-Laredo, Yaping Yang
We construct a flat connection on the elliptic configuration space associated to any complex semisimple Lie algebra g. This elliptic Casimir connection has logarithmic singularitie…
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…
Universal KZB Equations for arbitrary root systems
Valerio Toledano-Laredo, Yaping Yang
Generalising work of Calaque-Enriquez-Etingof, we construct a universal KZB connection D_R for any finite (reduced, crystallographic) root system R. D_R is a flat connection on the…