Constructions of High Dimensional Legendrians and Isotopies

Agniva Roy

I will talk about an ongoing project that explores the construction of high dimensional Legendrian spheres from supporting open books and contact structures. The input is a Lagrangian disk filling of a Legendrian knot in the binding. We try to understand the relationship between different constructions from the same input, and suggest parallels, in the S2n+1 case, to a construction defined by Ekholm for ℝ2n+1.

https://www.ias.edu/video/constructions-high-dimensional-legendrians-and-isotopies