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Sherry Gong, UCLA, On the Kronheimer-Mrowka concordance invariant

September 10, 2019 | 1:30 pm - 2:30 pm EDT

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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Date:
September 10, 2019
Time:
1:30 pm - 2:30 pm EDT
Event Category:

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