Published March 24, 2001
| Published + Submitted
Journal Article
Open
BPS states of curves in Calabi-Yau 3-folds
- Creators
- Bryan, Jim
- Pandharipande, Rahul
Chicago
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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.
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 318Attached Files
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Submitted - 0009025v1.pdf
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Additional details
- Eprint ID
- 763
- Resolver ID
- CaltechAUTHORS:BRYgt01
- Created
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2005-09-28Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field