Topology Seminar

Jeremy Van Horn-Morris (Arkansas)
Towards a braid theory of codimension 2 contact submanifolds


In dimension 3, the theory of codimension 2 contact submanifolds is better known as the transverse knot theory of a contact manifold, a theory which has a complete description in terms of braid theory. In higher dimensions, very little is known but there is a small but growing list of results. I will explain a method developed with A. Kaloti to use open books and lefschetz fibrations to study codimension 2 contact embeddings. I will give a lot of background and present some initial applications and will highlight the similarities to and differences from the analogous story in dimension 3.


Passcode: tensor


Event Date: 
September 10, 2020 - 3:30pm to 4:20pm
Calendar Category: 
Seminar Category: 
Geometry and Topology