Surface mapping class group actions on 3-manifolds

Alina Al Beaini, Lei Chen, Bena Tshishiku

For each circle bundle $S^1\to X\to {\Sigma }_g$ over a surface with genus $g\ge 2$, there is a natural surjection $\pi :Home{o}^{+}(X)\to Mod({\Sigma }_g)$. When $X$ is the unit tangent bundle $U{\Sigma }_g$, it…