Virtual algebraic fibrations of surface-by-surface groups and orbits of the mapping class group

Robert Kropholler, Stefano Vidussi, Genevieve Walsh

Published 2021-03-11Version 1

We show that a conjecture of Putman-Wieland, which posits the nonexistence of finite orbits for higher Prym representations of the mapping class group, is equivalent to the existence of surface-by-surface and surface-by-free groups which do not virtually algebraically fiber.