AbstractLegendrian links play a central role in low dimensional contact topology. A rigid theory uses invariants constructed via algebraic tools to distinguish Legendrian links. The most influential and powerful invariant is the Chekanov-Eliashberg differential graded algebra, which set apart the first non-classical Legendrian pair and stimulated many subsequent developments. The functor of poi...
Abstract Understanding the landscape of contact structures on spheres is a foundamental question in contact topology. In this talk, I will explain the joint work with Bowden, Gironella and Moreno on exotic contact spheres: the construction of tight contact spheres without fillings and exactly fillable contact spheres without Weinstein fillings. I will also discuss the effect of implementing suc...