Mapping class groups of covers with boundary and braid group embeddings
Mapping class groups of covers with boundary and braid group embeddings
We consider finite-sheeted, regular, possibly branched covering spaces of compact surfaces with boundary and the associated liftable and symmetric mapping class groups.In particular, we classify when either of these subgroups coincides with the entire mapping class group of the surface.As a consequence, we construct infinite families of non-geometric embeddings of …