2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57316Freedman proposes a family of Hamiltonians $H_{0,l}$ which define quantum loop gas models on any celluated compact surface. We study the simplest nontrivial cases: celluations of the torus. Our numerical data support Freedman's conjecture, but the conjectured space of ground states does not come out in full.Mathematical PhysicsGeometric Topology57M20text