Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Borodin-Okounkov formula, string equation and topological solutions of Drinfeld-Sokolov hierarchies

Abstract : We give a general method to compute the expansion of topological tau functions for Drinfeld-Sokolov hierarchies associated to an arbitrary untwisted affine Kac-Moody algebra. Our method consists of two main steps: first these tau functions are expressed as (formal) Fredholm determinants of the type appearing in the Borodin-Okounkov formula, then the kernels for these determinants are found using a reduced form of the string equation. A number of explicit examples are given.
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-01148689
Contributor : Mattia Cafasso <>
Submitted on : Tuesday, May 5, 2015 - 9:57:57 AM
Last modification on : Monday, March 9, 2020 - 6:15:53 PM

Links full text

Identifiers

  • HAL Id : hal-01148689, version 1
  • ARXIV : 1505.00556

Collections

Citation

Mattia Cafasso, Chao-Zhong Wu. Borodin-Okounkov formula, string equation and topological solutions of Drinfeld-Sokolov hierarchies. 2015. ⟨hal-01148689⟩

Share

Metrics

Record views

171