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Geometry and Topology Seminar

Friday, February 9, 2024
4:00pm to 5:00pm
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Linde Hall 187
3- and 4-dimensional invariants of satellite knots with (1,1)-patterns
Holt Bodish, Department of Mathematics, University of Oregon,

In this talk I will discuss computing knot Floer homology of satellites with arbitrary companions and patterns from a few families of (1,1)-patterns. I'll show how to compute $\tau$ and $\epsilon$ of satellites with these patterns in terms of $\tau$ and $\epsilon$ of the companion and show that there is an infinite subfamily of winding number 1 patterns (generalizing the Mazur pattern) that do not act surjectively on the smooth concordance group. I will also discuss determining the genus and fiberedness of these patterns (and their twisted relatives) in the solid torus. Some of this is based on joint work with Subhankar Dey.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected] or visit