Universal Surgery Problems with Trivial Lagrangian
Geometric Topology
2021-09-30 v1
Abstract
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 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 \cite{FK2}, useful for constructing surgery kernels associated to link-slice problems.
Keywords
Cite
@article{arxiv.1901.05951,
title = {Universal Surgery Problems with Trivial Lagrangian},
author = {Michael Freedman and Vyacheslav Krushkal},
journal= {arXiv preprint arXiv:1901.05951},
year = {2021}
}