  Spacetimes that include a boundary at infinity have a non-trivial topology.
The homology of the background influences gauge fields living on them and lead
to topological charges. We investigate the charges and fluxes of fields over a
Taub--NUT background in Einstein--Maxwell dilaton--axion gravity, by using the
relative homology and de Rham cohomology. It turns out that the electromagnetic
sector is devoid of restrictions from a topological viewpoint. There are,
however, flux quanta for the axion and dilaton fields. These results are
obtained from the absolute homology of the spacetime boundary. The solutions we
probe originate in the four dimensional low energy limit of heterotic string
theory. So our results are complemented by the stringy coupling present in the
fields. The quantization has a bundle theoretic interpretation as the axion's
flux corresponds to the topological index of an underlying 2-bundle.
