OICC Press Journal of Theoretical and Applied Physics 2251-7235 7 1 2023 11 17 GEMs and amplitude bounds in the colored Boulatov model 10.1186/2251-7235-7-63 EN OICC Press Authors Various OICC Press Authors Journal Article 2023 11 17 AbstractIn this paper, we construct a methodology for separating divergencies due to different topological manifolds dual to Feynman graphs in a colored group field theory. After having introduced the amplitude bounds using propagator cuts, we show how Graph-Encoded Manifold (GEM) techniques can be used in order to factorize divergencies related to different parts of the dual topologies of the Feynman graphs in the general case. We show the potential of the formalism in the case of three-dimensional solid torii in the colored Boulatov model.