Correlation functions of the KdV hierarchy and applications to intersection numbers over \mathcal M_g,n

2015/04/30 by Marco Bertola, Boris Dubrovin, Di Yang · 1 citation
Mathematics · Physics and Astronomy · #math-ph #math.AG #math.MP

paper · pdf · doi:10.1016/j.physd.2016.04.008

48 pages including 9 pages of tables; references added. V2: minor corrections in the proof of Theorem 1.2 (statement unaffected)

arxiv created 2021/07/02 · arxiv updated 2021/07/05

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 formulæ of a new type for the generating series of intersection numbers of ψ-classes as well as of mixed ψ- and κ-classes in full genera.

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