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2012

Recursion Formulas for Spin Hurwitz Numbers

Lee, Junho, Parker, Thomas H.

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The classical Hurwitz numbers which count coverings of a complex curve have an analog when the curve is endowed with a theta characteristic.

These "spin Hurwitz numbers", recently studied by Eskin, Okounkov and Pandharipande, are interesting in their own right.
By the authors' previous work, they are also related to the Gromov-Witten invariants of Kahler surfaces.
We prove a recursive formula for spin Hurwitz numbers, which then gives the dimension zero GW invariants of Kahler surfaces with positive geometric genus.

Recursion Formulas for Spin Hurwitz Numbers · Around

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M. Cornalba,
1989
Earlier work this paper cites.
J. Harris and I. Morrison,
1998
Earlier work this paper cites.
E. Ionel and T.H. Parker,
2003
Earlier work this paper cites.
E. Ionel and T.H. Parker,
2004
Earlier work this paper cites.

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A. Okounkov, R. Pandharipande,
2006
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J. Lee and T.H. Parker,
2007
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A. Eskin, A. Okounkov and R. Pandharipande,
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Original
Cited in the paper.

Then

E. Arbarello, M. Cornalba, P. Griffiths and J. Harris,
2011
Later among the works it cites.
Y-H. Kiem and J. Li,
2011
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J. Lee and T.H. Parker,
2012
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