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

  title={From Hurwitz Numbers to Kontsevich–Witten Tau-Function: A Connection by Virasoro Operators},
  author={A. Alexandrov},
  journal={Letters in Mathematical Physics},
  • 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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