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Unknotting number and L-space satellite operators

Hugo Zhou <hugozhou@umich.edu>, University of Michigan

Abstract:

In a joint work with Daren Chen and Ian Zemke, we study the torsion order of Heegaard Floer homology under L-space satellite operators, which by a result by Alishahi-Eftekhary, leads to an unknotting number bound. The argument resembles the work of Hom-Lidman-Park; instead of using immersed curves, we use the L-space satellite formula by Chen-Zemke-Zhou.

Scheduled for: 2026-03-11 10:55 AM: GeoTop Session #1.2 in Heritage Hall Building 126

Icon: video Webinar

Status: Accepted

Collection: Geometric Topology

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