Starting from a microscopic Hamiltonian on an infinite cylinder, In Ref. [Cincio and Vidal, "Characterizing topological order by studying the ground states of an infinite cylinder", arXiv:1208.2623v1], a method to obtain a tensor network representation for the different ground states of a topologically ordered system was proposed. In this talk, I will review that approach and explain how to also obtain a tensor network representation for each of the different quasi-particle excitations of the emergent, topologically ordered medium, including those with fractionalized quantum numbers.