Decomposing the homology of braid spaces with applications to the topology of
mapping spaces
Using truncated symmetric products and variants of simplicial resolutions, we give
various decomposition results for the homology of braid spaces of closed and
punctured manifolds. Combining similar resolution techniques with configuration
space models we completely determine the homology of spaces of maps from
Riemann surfaces into complex projective spaces (this part is joint with P.
Salvatore).