# 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} }

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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