## Geometry & Topology

### The gerby Gopakumar–Mariño–Vafa formula

#### Abstract

We prove a formula for certain cubic $ℤn$–Hodge integrals in terms of loop Schur functions. We use this identity to prove the Gromov–Witten/Donaldson–Thomas correspondence for local $ℤn$–gerbes over $ℙ1$.

#### Article information

Source
Geom. Topol., Volume 17, Number 5 (2013), 2935-2976.

Dates
Revised: 13 May 2013
Accepted: 23 June 2013
First available in Project Euclid: 20 December 2017

https://projecteuclid.org/euclid.gt/1513732692

Digital Object Identifier
doi:10.2140/gt.2013.17.2935

Mathematical Reviews number (MathSciNet)
MR3190303

Zentralblatt MATH identifier
1281.14045

#### Citation

Ross, Dustin; Zong, Zhengyu. The gerby Gopakumar–Mariño–Vafa formula. Geom. Topol. 17 (2013), no. 5, 2935--2976. doi:10.2140/gt.2013.17.2935. https://projecteuclid.org/euclid.gt/1513732692

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