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Title:
L-space knots have no essential Conway spheres
Speaker:
Abstract:
In 2013, Allison Moore and Tye Lidman conjectured that any knot in S³ that admits a non-trivial surgery to an L-space does not contain an essential Conway sphere. In recent joint work (arXiv preprint 2006.03521), we prove this conjecture. Our proof is based on a certain Heegaard Floer invariant HFT for 2-strand tangles that I developed in earlier work. I will discuss the main ideas of our proof with particular focus on symmetries of HFT.
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