  We summarize some results obtained on the problem of gauging the Wess--Zumino
term of a d-dimensional bosonic sigma-model. We show that gauged WZ-like terms
are in one-to-one correspondence with equivariant cocycles of the target space.
By the same token, the obstructions to gauging a WZ term can be understood in
terms of the equivariant cohomology of the target space and this allows us to
use topological tools to derive some a priori vanishing theorems guaranteeing
the absence of obstructions for a large class of target spaces and symmetry
groups in the physically interesting dimensions d<=4. (This is an expository
summary of the results of hep-th/9407149.)
