We classify finite pointed braided tensor categories admitting a fiber
functor in terms of bilinear forms on symmetric Yetter-Drinfeld modules over
abelian groups. We describe the groupoid formed by braided equivalences of such
categories in terms of certain metric data, generalizing the well-known result
of Joyal and Street for fusion categories. We study symmetric centers and
ribbon structures of pointed braided tensor categories and examine their
Drinfeld centers.
