2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/198743We compute the mapping class group action on cycles on the configuration space of the torus with one puncture, with coefficients in a local system arising in conformal field theory. This action commutes with the topological action of the quantum group $U_q(sl_2)$, and is given in vertex form.15 pagesHigh Energy Physics - TheoryQuantum AlgebraTopological Representations of $U_q(sl_2)$ on the Torus and the Mapping Class Grouptext