Open Access
2009 A mathematical theory of the topological vertex
Jun Li, Chiu-Chu Melissa Liu, Kefeng Liu, Jian Zhou
Geom. Topol. 13(1): 527-621 (2009). DOI: 10.2140/gt.2009.13.527

Abstract

We have developed a mathematical theory of the topological vertex—a theory that was originally proposed by M Aganagic, A Klemm, M Mariño and C Vafa on effectively computing Gromov–Witten invariants of smooth toric Calabi–Yau threefolds derived from duality between open string theory of smooth Calabi–Yau threefolds and Chern–Simons theory on three-manifolds.

Citation

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Jun Li. Chiu-Chu Melissa Liu. Kefeng Liu. Jian Zhou. "A mathematical theory of the topological vertex." Geom. Topol. 13 (1) 527 - 621, 2009. https://doi.org/10.2140/gt.2009.13.527

Information

Received: 23 October 2007; Revised: 27 July 2008; Accepted: 3 October 2008; Published: 2009
First available in Project Euclid: 20 December 2017

zbMATH: 1184.14084
MathSciNet: MR2469524
Digital Object Identifier: 10.2140/gt.2009.13.527

Subjects:
Primary: 14N35 , 53D45
Secondary: 57M27

Keywords: Calabi–Yau threefold , Gromov–Witten invariant , topological vertex

Rights: Copyright © 2009 Mathematical Sciences Publishers

Vol.13 • No. 1 • 2009
MSP
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