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Abstract: In this paper we give a characterization of 2-dimensional topological fieldtheories over a space $X$ as Frobenius bundles with connections over $LX$, thefree loop space of $X$. This is a generalization of the folk theorem statingthat 2-dimensional topological field theories over a point are described byfinite-dimensional commutative Frobenius algebras. In another direction, thisresult extends the description of 1-dimensional topological field theories overa space $X$ as vector bundles with connections over $X$, cf. \cite{DST}.



Autor: Florin Dumitrescu

Fuente: https://arxiv.org/







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