Lagrangians for the Gopakumar-Vafa conjecture
Differential Geometry
2009-03-13 v2 Mathematical Physics
Geometric Topology
math.MP
Abstract
This article explains how to construct immersed Lagrangian submanifolds in C^2 that are asymptotic at large distance from the origin to a given braid in the 3-sphere. The self-intersections of the Lagrangians are related to the crossings of the braid. These Lagrangians are then used to construct immersed Lagrangians in the vector bundle O(-1) oplus O(-1) over the Riemann sphere which are asymptotic at large distance from the zero section to braids.
Cite
@article{arxiv.math/0201219,
title = {Lagrangians for the Gopakumar-Vafa conjecture},
author = {Clifford Henry Taubes},
journal= {arXiv preprint arXiv:math/0201219},
year = {2009}
}
Comments
This is the version published by Geometry & Topology Monographs on 22 April 2006