Universal Surgery Problems with Trivial Lagrangian


Freedman M, Krushkal V. Universal Surgery Problems with Trivial Lagrangian. Math. Res. Letters, to appear. 2019.
1901.05951.pdf1.37 MB


We study the effect of Nielsen moves and their geometric counterparts, handle slides, on good boundary links. A collection of links, universal for 4-dimensional surgery, is shown to admit Seifert surfaces with a trivial Lagrangian. They are good boundary links, with Seifert matrices of a more general form than in known constructions of slice links. We show that a certain more restrictive condition on Seifert matrices is sufficient for proving the links are slice. We also give a correction of a Kirby calculus identity in [FK2], useful for constructing surgery kernels associated to link-slice problems.

Last updated on 09/03/2019