In his 2011 paper, Teleman proved that a cohomological field theory on the moduli space $overline{mathcal{M}}_{g,n}$ of stable complex curves is uniquely determined by its restriction to the smooth part $mathcal{M}_{g,n}$, provided that the underlying Frobenius algebra is semisimple. This leads to a classification of all semisimple cohomological field theories. The present paper, the outcome of the authors masters thesis, presents Telemans proof following his original paper. The author claims no originality: the main motivation has been to keep the exposition as complete and self-contained as possible.
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