Bryan, Jim and Pandharipande, Rahul (2001) BPS states of curves in Calabi-Yau 3-folds. Geometry and Topology, 5 (9). pp. 287-318. ISSN 1465-3060. https://resolver.caltech.edu/CaltechAUTHORS:BRYgt01
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Abstract
The Gopakumar-Vafa conjecture is defined and studied for the local geometry of a 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, Mobius inversion, and a combinatorial analysis of the numbers of etale covers of a curve.
| Item Type: | Article | |||||||||
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| Additional Information: | © 2001 Geometry & Topology Publications. Proposed: Robion Kirby. Seconded: Yasha Eliashberg, Simon Donaldson Received: 13 October 2000; Accepted: 20 March 2001; Published: 24 March 2001; Version 2 published 8 June 2002: Corrections to equation (2) page 295, to the first equation in Proposition 2.1 and to the tables on page 318 | |||||||||
| Subject Keywords: | Gromov-Witten invariants, BPS states, Calabi-Yau 3-folds | |||||||||
| Issue or Number: | 9 | |||||||||
| Record Number: | CaltechAUTHORS:BRYgt01 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:BRYgt01 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 763 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Archive Administrator | |||||||||
| Deposited On: | 28 Sep 2005 | |||||||||
| Last Modified: | 18 May 2020 20:03 |
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