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Quiver varieties and Hall algebras (2016)

Scherotzke, S., Sibilla, N.

Oxford University Press

In: Proceedings of the London Mathematical Society

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Publication Date: 2016-06-11

Description: In this paper, we give a geometric construction of the quantum group $U_t({\mathcal G})$ 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).

Print ISSN: 0024-6115

Electronic ISSN: 1460-244X

Topics: Mathematics

Published by Oxford University Press

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