Work

Lagrangians for the Gopakumar–Vafa conjecture

Year: 2006
Type: conference-paper
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.
Institution: Harvard University
Language: English
Open Access status: green
OpenAlex ID: W2950167836
FWCI:
Cites: 14
Cited by: 8
Related to: 10