Open Access
2001 BPS states of curves in Calabi–Yau 3–folds
Jim Bryan, Rahul Pandharipande
Geom. Topol. 5(1): 287-318 (2001). DOI: 10.2140/gt.2001.5.287

Abstract

The Gopakumar–Vafa integrality conjecture is defined and studied for the local geometry of a super-rigid curve in a Calabi–Yau 3–fold. The integrality predicted in Gromov–Witten theory by the Gopakumar–Vafa BPS count is verified in a natural series of cases in this local geometry. The method involves Gromov–Witten computations, Möbius inversion, and a combinatorial analysis of the numbers of étale covers of a curve.

Citation

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Jim Bryan. Rahul Pandharipande. "BPS states of curves in Calabi–Yau 3–folds." Geom. Topol. 5 (1) 287 - 318, 2001. https://doi.org/10.2140/gt.2001.5.287

Information

Received: 13 October 2000; Revised: 8 June 2002; Accepted: 20 March 2001; Published: 2001
First available in Project Euclid: 21 December 2017

zbMATH: 1063.14068
MathSciNet: MR1825668
Digital Object Identifier: 10.2140/gt.2001.5.287

Subjects:
Primary: 14N35
Secondary: 81T30

Keywords: BPS states , Calabi–Yau 3–folds , Gromov–Witten Invariants

Rights: Copyright © 2001 Mathematical Sciences Publishers

Vol.5 • No. 1 • 2001
MSP
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