Knot cobordisms, bridge index, and torsion in Floer homology
Given a connected cobordism between two knots in the 3‐sphere, our main result is an inequality involving torsion orders of the knot Floer homology of the knots, and the number of local maxima and the genus of the cobordism. This has several topological applications: The torsion order gives lower bounds on the bridge index and the band‐unlinking number of a knot, the fusion number of a ribbon knot, and the number of minima appearing in a slice disk of a knot. It also gives a lower bound on...Expand abstract
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- Peer reviewed
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- Juhász, A et al.
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- © 2020 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.
- This is the accepted manuscript version of the article. The final version is available online from Wiley at: https://doi.org/10.1112/topo.12170
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