  We consider birack and switch colorings of braids. We define a switch
structure on the set of permutation representations of the braid group and
consider when such a representation is a switch automorphism. We define
quiver-valued invariants of braids using finite switches and biracks and use
these to categorify the birack 2-cocycle invariant for braids. We obtain new
polynomial invariants of braids via decategorification of these quivers.
