48 research outputs found
Lagrangians for the Gopakumar-Vafa conjecture
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.Comment: This is the version published by Geometry & Topology Monographs on 22
April 200