On the contact mapping class group of the contactization of the $A_m$- Milnor fiber

Sergei Lanzat, Frol Zapolsky

We construct an embedding of the full braid group on $m+1$ strands $B_{m+1}$, $m\ge 1$, into the contact mapping class group of the contactization $Q\times S^1$ of the $A_m$-Mil…