Published March 24, 2001
| Version Published + Submitted
Journal Article
Open
BPS states of curves in Calabi-Yau 3-folds
Creators
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
Published - BRYgt01.pdf
Submitted - 0009025v1.pdf
Files
0009025v1.pdf
Files
(559.2 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:9690599f5693453dd8b62abca61faa68
|
279.1 kB | Preview Download |
|
md5:e347a008c28dbbd99920b6fea81eedd3
|
280.1 kB | Preview Download |
Additional details
Identifiers
- Eprint ID
- 763
- Resolver ID
- CaltechAUTHORS:BRYgt01
Related works
- Describes
- https://arxiv.org/abs/math/0009025 (URL)
Dates
- Created
-
2005-09-28Created from EPrint's datestamp field
- Updated
-
2021-11-08Created from EPrint's last_modified field