The notion of a factorization algebra was used by K. Costello and O. Gwilliams [CG16], [Gwi12] to describe the structure on the collection of observables in both classical- and quantum field theories. Motivated by their work, this master’s thesis aims at studying the factorization algebra of classical observables arising from the perturbative facets of abelian Chern-Simons theories. For this purpose, we describe the local structure of the derived moduli space of flat abelian bundles over a closed oriented 3-manifold via its associated derived formal moduli problem.
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