  The string topology coproduct is often perceived as a counterpart in string
topology to the Chas-Sullivan product. However, in certain aspects the string
topology coproduct is much harder to understand than the Chas-Sullivan product.
In particular the coproduct is not homotopy-invariant and it seems much harder
to compute. In this article we give an overview over the string topology
coproduct and use the notion of intersection multiplicity of homology classes
in loop spaces to show that the string topology coproduct and the based string
topology coproduct are trivial for certain classes of manifolds. In particular
we show that the string topology coproduct vanishes on product manifolds where
both factors have vanishing Euler characteristic and we show that the based
coproduct is trivial for total spaces of fiber bundles with sections. We also
discuss implications of these results.
