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arXiv · 1504.06452

Correlation functions of the KdV hierarchy and applications to intersection numbers over $\overline{\mathcal M}_{g,n}$

Marco Bertola·Boris Dubrovin·Di Yang
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Abstract

We derive an explicit generating function of correlations functions of an arbitrary tau-function of the KdV hierarchy. In particular applications, our formulation gives closed formul\ae\ of a new type for the generating series of intersection numbers of $\psi$-classes as well as of mixed $\psi$- and $\kappa$-classes in full genera.

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Marco Bertola, Boris Dubrovin, Di Yang. 2015-04-24. Correlation functions of the KdV hierarchy and applications to intersection numbers over $\overline{\mathcal M}_{g,n}$. https://doi.org/10.1016/j.physd.2016.04.008

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