Characterizing the vacuum of a thermalized SU(3) Yang-Mills theory in the d
ual Ginzburg-Landau description, the possibility of topologically nontrivia
l, classical monopole fields in the deconfining phase is explored. These fi
elds are assumed to be Bogomol'nyi-Prasad-Sommerfield saturated solutions a
long the compact, Euclidean time dimension. A corresponding, gauge invarian
t monopole interaction is constructed. The model passes first tests. In par
ticular, a reasonable value for the critical temperature is obtained, and t
he partial persistence of nonperturbative features in the deconfining phase
of SU(3) Yang-Mills theory, as it is measured on the lattice, follows natu
rally.