##### Department of Mathematics,

University of California San Diego

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### Math 292 - Topology Seminar

## Irving Dai

#### MIT

## Equivariant knots via knot Floer homology

##### Abstract:

We discuss how knot Floer homology can be used to study equivariant knots. We introduce some large-surgery correction terms that obstruct equivariant sliceness (and more generally, bound equivariant genus, following work of Juhasz and Zemke). We describe some crossing-change inequalities for these invariants. We also describe an amusing application to distinguishing (up to isotopy rel boundary) pairs of slice disks related by symmetries of a knot. \\ \\ This is work in progress with Abhishek Mallick and Matthew Stoffregen.

Host: Jianfeng Lin

### April 20, 2021

### 11:30 AM

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

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