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Geometric Topology

GeoTop Session #1.2

Subevent of GeoTop Session #1

Heritage Hall Building 126

Times: 2026 Mar 11 from 10:55AM to 11:25AM (Central Time (US & Canada))

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.

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