Legendrian Torus and Cable Links

Explore the classification of Legendrian torus links in this 49-minute lecture by Lisa Traynor from Bryn Mawr College, presented at the Institut Henri Poincaré. Delve into the restrictions on Legendrian torus knots as components of Legendrian torus links, and examine examples of Legendrian torus links that resist destabilization despite not having maximal Thurston-Bennequin invariant. Investigate the smooth symmetries of Legendrian torus links that cannot be realized through Legendrian isotopy, and learn how these findings extend to Legendrian cable links. Gain insights into the applications of convex surface theory in understanding these complex topological structures.