We derive an explicit generating function of correlation 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.
Correlation functions of the KdV hierarchy and applications to intersection numbers over Mg,n / Bertola, M.; Dubrovin, B.; Yang, D.. - In: PHYSICA D-NONLINEAR PHENOMENA. - ISSN 0167-2789. - 327:July(2016), pp. 30-57. [10.1016/j.physd.2016.04.008]
Correlation functions of the KdV hierarchy and applications to intersection numbers over Mg,n
Bertola, M.;Dubrovin, B.;
2016-01-01
Abstract
We derive an explicit generating function of correlation 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.File in questo prodotto:
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