Trisections diagrams and surgery operations on embedded surfaces
By David Gay
Also appears in collection : Knotted embeddings in dimensions 3 and 4 / Plongements noués en dimension 3 et 4
Various surgery operations on dimension four begin with a 4–manifold $X$ and an embedded surface $S$, then remove a neighborhood of $S$ and replace it with something else to produce an interesting new 4–manifold. In a few standard surgery constructions, especially the Gluck twist operation, I will show how, given a trisection diagram of $X$ with decorations that describe the embedded surface $S$, to produce a trisection diagram for the new 4–manifold. This is joint work with Jeff Meier.
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