The gerby Gopakumar–Mariño–Vafa formula

Ross, Dustin; Zong, Zhengyu

doi:10.2140/gt.2013.17.2935

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The gerby Gopakumar–Mariño–Vafa formula

Dustin Ross and Zhengyu Zong

Geometry & Topology 17 (2013) 2935–2976

DOI: 10.2140/gt.2013.17.2935

Abstract

We prove a formula for certain cubic $ℤ_{n}$ –Hodge integrals in terms of loop Schur functions. We use this identity to prove the Gromov–Witten/Donaldson–Thomas correspondence for local $ℤ_{n}$ –gerbes over $ℙ^{1}$ .

Keywords

Gromov–Witten, Donaldson–Thomas, loop Schur

Mathematical Subject Classification 2010

Primary: 05E05, 14N35, 53D45

References

Publication

Received: 7 December 2012

Revised: 13 May 2013

Accepted: 23 June 2013

Published: 17 October 2013

Proposed: Jim Bryan

Seconded: Richard Thomas, Ronald Stern

Authors

Dustin Ross
Department of Mathematics University of Michigan Ann Arbor, MI 48109 USA

Zhengyu Zong
Department of Mathematics Columbia University New York, NY 10027 USA

Volume 17, issue 5 (2013)