Connecting the Kontsevich-Witten and Hodge tau-functions by the $\hat{GL(\infty)}$ operators
Mathematical Physics
2016-07-26 v2 Combinatorics
math.MP
Abstract
In this paper, we present an explicit formula that connects the Kontsevich-Witten tau-function and the Hodge tau-function by differential operators belonging to the group. Indeed, we show that the two tau-functions can be connected using Virasoro operators. This proves a conjecture posted by Alexandrov in [1].
Keywords
Cite
@article{arxiv.1503.05268,
title = {Connecting the Kontsevich-Witten and Hodge tau-functions by the $\hat{GL(\infty)}$ operators},
author = {Xiaobo Liu and Gehao Wang},
journal= {arXiv preprint arXiv:1503.05268},
year = {2016}
}
Comments
48 pages