# From Hurwitz Numbers to Kontsevich–Witten Tau-Function: A Connection by Virasoro Operators

@article{Alexandrov2014FromHN,
title={From Hurwitz Numbers to Kontsevich–Witten Tau-Function: A Connection by Virasoro Operators},
author={A. Alexandrov},
journal={Letters in Mathematical Physics},
year={2014},
volume={104},
pages={75-87}
}
• A. Alexandrov
• Published 2014
• Mathematics, Physics
• Letters in Mathematical Physics
In this letter, we present our conjecture on the connection between the Kontsevich–Witten and the Hurwitz tau-functions. The conjectural formula connects these two tau-functions by means of the GL(∞) group element. An important feature of this group element is its simplicity: this is a group element of the Virasoro subalgebra of gl(∞). If proved, this conjecture would allow to derive the Virasoro constraints for the Hurwitz tau-function, which remain unknown in spite of existence of several… Expand
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