Approximating tau-functions by theta-functions
Mathematical Physics
2018-07-11 v1 Algebraic Geometry
math.MP
Abstract
We prove that the logarithm of an arbitrary tau-function of the KdV hierarchy can be approximated, in the topology of graded formal series by the logarithmic expansions of hyperelliptic theta-functions of finite genus, up to at most quadratic terms. As an example we consider theta-functional approximations of the Witten--Kontsevich tau-function.
Keywords
Cite
@article{arxiv.1807.03377,
title = {Approximating tau-functions by theta-functions},
author = {Boris Dubrovin},
journal= {arXiv preprint arXiv:1807.03377},
year = {2018}
}
Comments
14 pages, 2 figures