Volume 18, issue 4 (2014)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 25
Issue 5, 2167–2711
Issue 4, 1631–2166
Issue 3, 1087–1630
Issue 2, 547–1085
Issue 1, 1–546

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Author Index
To Appear
 
Other MSP Journals
Gromov–Witten invariants of $\mathbb{P}^1$ and Eynard–Orantin invariants

Paul Norbury and Nick Scott

Geometry & Topology 18 (2014) 1865–1910
Abstract

We prove that genus-zero and genus-one stationary Gromov–Witten invariants of 1 arise as the Eynard–Orantin invariants of the spectral curve x = z + 1z, y = lnz. As an application we show that tautological intersection numbers on the moduli space of curves arise in the asymptotics of large-degree Gromov–Witten invariants of 1.

Keywords
Gromov–Witten, moduli space, Eynard–Orantin
Mathematical Subject Classification 2010
Primary: 05A15
Secondary: 14N35
References
Publication
Received: 18 July 2011
Revised: 6 December 2013
Accepted: 27 February 2014
Published: 2 October 2014
Proposed: Lothar Göttsche
Seconded: Jim Bryan, Yasha Eliashberg
Authors
Paul Norbury
Department of Mathematics and Statistics
University of Melbourne
Victoria 3010
Australia
http://www.ms.unimelb.edu.au/~pnorbury
Nick Scott
Mathematics and Statistics
University of Melbourne
Melbourne 3010
Australia