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arXiv · 1610.04368

Teleman's classification of 2D semisimple cohomological field theories

Simone Melchiorre Chiarello
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Abstract

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 author's master's thesis, presents Teleman's 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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Simone Melchiorre Chiarello. 2016-10-14. Teleman's classification of 2D semisimple cohomological field theories. https://arxiv.org/abs/1610.04368

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