##### Department of Mathematics,

University of California San Diego

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### Topology seminar

## Sherry Gong

#### UCLA

## On the Kronheimer-Mrowka concordance invariant

##### Abstract:

We will talk about Kronheimer and Mrowka's knot concordance invariant, $s^\sharp$. We compute the invariant for various knots. Our computations reveal some unexpected phenomena, including that $s^\sharp$ differs from Rasmussen's invariant $s$, and that it is not additive under connected sums. We also generalize the definition of $s^\sharp$ to links by giving a new characterization of the invariant in terms of immersed cobordisms.

Host: Jianfeng Lin

### January 28, 2020

### 9:30 AM

### AP&M 7218

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