Modular functors, cohomological field theories, and topological recursion

@article{Andersen2018ModularFC,
  title={Modular functors, cohomological field
 theories, and topological recursion},
  author={J{\o}rgen Ellegaard Andersen and Gaetan Borot and Nicolas Orantin},
  journal={Proceedings of Symposia in Pure
                        Mathematics},
  year={2018}
}
Given a topological modular functor $\mathcal{V}$ in the sense of Walker \cite{Walker}, we construct vector bundles over $\bar{\mathcal{M}}_{g,n}$, whose Chern classes define semi-simple cohomological field theories. This construction depends on a determination of the logarithm of the eigenvalues of the Dehn twist and central element actions. We show that the intersection of the Chern class with the $\psi$-classes in $\bar{\mathcal{M}}_{g,n}$ is computed by the topological recursion of \cite… 

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