A square root of Hurwitz numbers
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2018
- DOI:
- 10.48550/arXiv.1807.03631
- arXiv:
- arXiv:1807.03631
- Bibcode:
- 2018arXiv180703631L
- Keywords:
-
- Mathematics - Algebraic Geometry;
- Mathematics - Symplectic Geometry
- E-Print:
- Some minor changes, following the referee's report. To appear in Manuscripta Math