$U_q(\mathfrak{gl}(m|n))$ bounds on the minimal genus of virtual links

Micah Chrisman, Killian Davis, Anup Poudel

For links $L\subset \Sigma \times [0,1]$, where $\Sigma$ is a closed orientable surface, we define a $U_q(\mathfrak{gl}(1|1))$ Reshetikhin-Turaev invariant with coefficients in $\mathbb{Z}[H…