College of Liberal Arts & Sciences

# Topology Seminar

Speaker:

Jeremy Van Horn-Morris (Arkansas)

Topic:

Towards a braid theory of codimension 2 contact submanifolds

**Abstract**

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

Location:

Online

Calendar Category:

Seminar

Seminar Category:

Geometry and Topology