Quiver varieties and Hall algebras
arXiv:1506.03609 · doi:10.1112/plms/pdw016
Abstract
In this paper we give a geometric construction of the quantum group Ut(G) using Nakajima categories, which were developed in [29]. Our methods allow us to establish a direct connection between the algebraic realization of the quantum group as Hall algebra by Bridgeland [1] and its geometric counterpart by Qin [24].
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