  Monopole-like objects have been identified in multiple lattice studies, and
there is now a significant amount of literature on their importance in
phenomenology. Some analytic indications of their role, however, are still
missing. The 't Hooft-Polyakov monopoles, originally derived in the
Georgi-Glashow model, are an important dynamical ingredient in theories with
extended supersymmetry ${\cal N} = 2,\,4$, and help explain the issues related
with electric-magnetic duality. There is no such solution in QCD-like theories
without scalar fields. However, all of these theories have instantons and their
finite-$T$ constituents known as instanton-dyons (or instanton-monopoles). The
latter leads to semiclassical partition functions, which for ${\cal N} = 2,\,4$
theories were shown to be identical ("Poisson dual") to the partition function
for monopoles. We show how, in a pure gauge theory, the semiclassical
instanton-based partition function can also be Poisson-transformed into a
partition function, interpreted as the one of moving and rotating monopoles.
