Quantitative Legendrian geometry - Michael Sullivan

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar

Topic: Quantitative Legendrian geometry
Speaker: Michael Sullivan
Affiliation: University of Massachusetts, Amherst
Date: January 14, 2022

I will discuss some quantitative aspects for Legendrians in a (more or less) general contact manifold. These include lower bounds on the number of Reeb chords between a Legendrian and its contact Hamiltonian image, the non-degeneracy of the Chekanov/Hofer/Shelukhin Legendrian metric, and some 3-dimensional non-squeezing results. The main tool is the barcode of a relative Rabinowitz Floer theory. This is joint work with Georgios Dimitroglou Rizell.