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A NOTE ON GUNNINGHAM’S FORMULA

Part of: Projective and enumerative geometry Quantum field theory; related classical field theories

Published online by Cambridge University Press:  01 August 2018

JUNHO LEE Open the ORCID record for JUNHO LEE [Opens in a new window]
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.

Keywords

topological quantum field theoryspin Hurwitz numbersgluing theorem

MSC classification

Primary: 14N35: Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants
Secondary: 81T45: Topological field theories
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 98 , Issue 3 , December 2018 , pp. 389 - 401
Copyright
© 2018 Australian Mathematical Publishing Association Inc. 

Footnotes

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

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