L-Space Satellite Operators and Knot Floer Homology

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Hugo Zhou, University of Michigan
Fine Hall 314

We consider satellite operations where the corresponding 2-component link is an L-space link. This family includes many commonly studied satellite operators, including cables, the Whitehead operator, and a family of Mazur operators. Using a bordered module reinterpretation of the link surgery formula by Zemke, we give a formula to compute the knot Floer complex of a satellite of K under L-space satellite operators, in terms of the knot complex of K. This is joint work with Daren Chen and Ian Zemke.