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A square root of Hurwitz numbers

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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.

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Acknowledgements

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

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Correspondence to Junho Lee.

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Lee, J. A square root of Hurwitz numbers. manuscripta math. 162, 99–113 (2020). https://doi.org/10.1007/s00229-019-01113-0

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  • DOI: https://doi.org/10.1007/s00229-019-01113-0

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