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A NOTE ON GUNNINGHAM’S FORMULA

Published online by Cambridge University Press:  01 August 2018

JUNHO LEE*
Affiliation:
Department of Mathematics, University of Central Florida, Orlando, FL 32816, USA email junho.lee@ucf.edu
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Abstract

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Gunningham [‘Spin Hurwitz numbers and topological quantum field theory’, Geom. Topol.20(4) (2016), 1859–1907] constructed an extended topological quantum field theory (TQFT) to obtain a closed formula for all spin Hurwitz numbers. In this note, we use a gluing theorem for spin Hurwitz numbers to re-prove Gunningham’s formula. We also describe a TQFT formalism naturally induced by the gluing theorem.

Type
Research Article
Copyright
© 2018 Australian Mathematical Publishing Association Inc. 

Footnotes

The author was partially supported by NSF grant DMS-1206192.

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