  It will be described how to uniquely fix the gauge using Coulomb gauge
fixing, avoiding the problem of Gribov copies. The fundamental modular domain,
which represents a one-to-one representation of the set of gauge invariant
degrees of freedom, is a bounded convex subset of the trans- verse gauge
fields. Boundary identifications are the only remnants of the Gribov copies,
and carry all the information about the topology of the Yang-Mills
configuration space. Conversely, the known topology can be shown to imply that
(on a set of measure zero on the boundary) some points of the boundary coincide
with the Gribov horizon. For the low-lying energies, wavefunctionals can be
shown to spread out "across" certain parts of these boundaries. This is how the
topology of Yang-Mills configuration space has an essential influence on the
low-lying spectrum, in a situation where these non- perturbative effects are
not exponentially suppressed.
  This write-up is a short summary, with adequate references, where details on
most of the material I have presented can be found. However, not published
before, is a new observation concerning Henyey's gauge copies.
