The circle quantum group and the infinite root stack of a curve (with an appendix by Tatsuki Kuwagaki)

Francesco Sala, Olivier Schiffmann

In the present paper, we give a definition of the quantum group ${\mathbf{U}}_{\upsilon }(\mathfrak{sl}(S^1))$ of the circle $S^1:=\mathbb{R}/\mathbb{Z}$, and its fundamental repr…