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A square root of Hurwitz numbers

  • Junho LeeEmail author
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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.

Mathematics Subject Classification

14H70 53D45 57M12 

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Notes

Acknowledgements

The author sincerely thank the referee for comments and suggestions that helped to improve the presentation of this paper.

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© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of Central FloridaOrlandoUSA

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