Given a Lagrangian link with k components it is possible to define an associated Hofer norm on the braid group with k strands. In this talk we are going to detail this definition, and explain how it is possible to prove non-degeneracy if k = 2 and certain area conditions on the Lagrangian link are met. The proof is based on the construction, using Quantitative Heegaard-Floer Homology, of a family of quasimorphisms which detect linking numbers of braids on the disc.
This video is part of the Institute for Advanced Study‘s Symplectic geometry seminar.
