Correlation functions of the KdV hierarchy and applications to intersection numbers over (M)over-barg,n

PHYSICA D-NONLINEAR PHENOMENA

卷:327

Article

Bertola, Marco^1,2,3  Dubrovin, Boris²  Yang, Di² 

[1] Concordia Univ, Dept Math & Stat, 1455 Maisonneuve W, Montreal, PQ H3G 1M8, Canada

[2] SISSA, Via Bonomea 265, I-34136 Trieste, Italy

[3] Univ Montreal, Ctr Rech Math, CP 6128,Succ Ctr ville, Montreal, PQ H3C 3J7, Canada

关键词: KdV hierarchy;    Tau-function;    Wave function;    Correlation function;    Intersection numbers;   

DOI  :  10.1016/j.physd.2016.04.008

来源: Elsevier

【 摘 要 】

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 formula 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. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free