A Note On Gunningham'S Formula

Keywords

gluing theorem; spin Hurwitz numbers; topological quantum field theory

Abstract

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.

Publication Date

12-1-2018

Publication Title

Bulletin of the Australian Mathematical Society

Volume

98

Issue

3

Number of Pages

389-401

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1017/S0004972718000618

Socpus ID

85056773615 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85056773615

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