English

A square root of Hurwitz numbers

Algebraic Geometry 2019-06-24 v2 Symplectic Geometry

Abstract

We exhibit a generating function of spin Hurwitz numbers analogous to (disconnected) double Hurwitz numbers that is a tau function of the two-component BKP (2-BKP) hierarchy and is a square root of a tau function of the two-component KP (2-KP) hierarchy defined by related Hurwitz numbers.

Keywords

Cite

@article{arxiv.1807.03631,
  title  = {A square root of Hurwitz numbers},
  author = {Junho Lee},
  journal= {arXiv preprint arXiv:1807.03631},
  year   = {2019}
}

Comments

Some minor changes, following the referee's report. To appear in Manuscripta Math

R2 v1 2026-06-23T02:56:20.485Z