GT seminar: Geometry of Lagrangian Tangles

Abstract: Lagrangian tangles are cobordisms between smooth links that generalize the classical Arnol'd theory of Lagrangian cobordism and the theory of Lagrangian cobordisms between Legendrian links. In this talk, we will explore the symplectic geometry of Lagrangian tangle links in the product of a surface with the complex numbers. The main tool is a novel Floer theory for Lagrangian tangles inspired by Morse theory for manifolds with gradient field tangent to the boundary. We show existence of a LES of persistence modules giving quantitative obstructions to the existence of Lagrangian tangle links.
This is joint work with Josh Sabloff (Haverford College).

This is a talk in our Geometry and Topology Seminar Series.