- 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 (gaohongh@msu.edu)
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.
https://msu.zoom.us/j/92550015779?pwd=azRER2p1Sm5CWWRML3lHbVQyWDU1QT09
