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arxiv: 1807.03631 · v2 · pith:4WUDF3EQnew · submitted 2018-07-07 · 🧮 math.AG · math.SG

A square root of Hurwitz numbers

classification 🧮 math.AG math.SG
keywords hurwitznumbersfunctionhierarchyrootsquaretwo-componentanalogous
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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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