Geometry and Topology Seminar

Monday, March 30, 2020 at 3:00pm to 4:00pm

Virtual Event

Featured Speaker: Sherry Gong (UCLA)

Title: 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.

 

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Department of Mathematics
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