2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/184871We discuss a new class of identities between correlation functions which arise from a local Z_2 invariance of the partition function of the q-state Potts model on general graphs or lattices. Their common feature is to relate the thermal operators of the Potts model to some topological properties of the Fortuin-Kasteleyn clusters. In particular it turns out that any even correlation function can be expressed in terms of observables which probe the linking properties of these clusters. This generalises a class of analogous relations recently found in the Ising model.6 pages, latex, enlarged version, accepted for publication in Journal of Physics ACondensed MatterHigh Energy Physics - Latticetext