Cyclotomic polynomials and homological criteria for mapping class types

Thomas Koberda, Łukasz Patryk Michalak

Let $S_g$ be a closed orientable surface and let $\Psi :\mathrm{Mod}(S_g)\to \mathrm{Sp}(2g,\mathbb{Z})$ be the representation induced by the action on first homology. We investi…