##### Department of Mathematics,

University of California San Diego

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### Math 292 - Topology Seminar

## Linh Truong

#### University of Michigan

## The Upsilon invariant and fibered knots

##### Abstract:

In 2010, Hedden showed that the Ozsvath-Szabo concordance invariant tau detects whether a fibered knot induces a tight contact structure on the three-sphere. In 2017, Ozsvath, Stipsicz, and Szabo constructed a one-parameter family of concordance invariants Upsilon, which recovers tau as a special case. I will discuss a sufficient condition using Upsilon for the monodromy of the open book decomposition of a fibered knot to be right-veering. I will also discuss a generalization of a result of Baker on ribbon concordances between fibered knots. This is joint work with Dongtai He and Diana Hubbard.

Host: Jianfeng Lin

### October 27, 2020

### 11:30 AM

### Zoom information: Meeting ID: 933 6734 4286 Password: topology

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