Journal
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY
Volume 112, Issue -, Pages 1002-1018Publisher
WILEY
DOI: 10.1112/plms/pdw016
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In this paper, we give a geometric construction of the quantum group U-t(G) using Nakajima categories, which were developed in Scherotzke ('Quiver varieties and self-injective algebras', Preprint, 2014, arxiv.org/abs/1405.4729). Our methods allow us to establish a direct connection between the algebraic realization of the quantum group as Hall algebra by Bridgeland ('Quantum groups via Hall algebras of complexes', Annals of Maths. 177 (2013) 739-759) and its geometric counterpart by Qin ('Quantum groups via cyclic quiver varieties I', Compos. Math., Preprint, 2013, arxiv.org/abs/1312.1101).
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