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Two-component L-space links, satellite and the tau-invariant
Geometry/Topology| Speaker: | Daren Chen, CalTech |
| Location: | 2112 MSB |
| Start time: | Tue, May 27 2025, 2:10PM |
A result by Ozsvath and Szabo states that the knot Floer complex of an L-space knot is a staircase. In this talk, we will discuss a similar result for two-component L-space links: the link Floer complex of such links can be thought of as an array of staircases. We will describe an algorithm to extract this array directly from the H-function of the link. As an application, we will discuss how to use this and the link surgery formula to compute the knot Floer complex and the tau-invariant of a certain class of satellite knots. This is joint work with Ian Zemke and Hugo Zhou.