Logarithmic Link Invariants of ${\overline{U}}_q^H({\mathfrak{sl}}_2)$ and Asymptotic Dimensions of Singlet Vertex Algebras

Thomas Creutzig, Antun Milas, Matt Rupert

We study relationships between the restricted unrolled quantum group ${\overline{U}}_q^H({\mathfrak{sl}}_2)$ at $2r$-th root of unity $q=e^{\pi i/r},r\ge 2$, and the singlet vertex ope…