This article explains how to construct immersed Lagrangian submanifolds in
C2 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)⊕O(-1) over the Riemann sphere which are asymptotic at large
distance from the zero section to braids.
Reproduced by kind permission of
International Press from: Advances in Theoretical and
Mathematical Physics 5 (2002) 139–163
