Department of Mathematics

Geometry and Topology

  •  Jeremy Van Horn-Morris, U Arkansas
  •  Towards a braid theory of codimension 2 contact submanifolds
  •  10/20/2020
  •  3:00 PM - 4:00 PM
  •  Online (virtual meeting)
  •  Honghao Gao (

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 braids in S^3 and braids in open books more generally. In higher dimensions, little is known about the structure of codimension 2 contact submanifolds, but the list of results is growing. I will explain a method developed with A. Kaloti to use open books and lefschetz fibrations to study codimension 2 contact embeddings in all dimensions. I will give a lot of background, present some initial applications and will highlight the similarities and differences from the relatively complete picture in dimension 3.



Department of Mathematics
Michigan State University
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