Work

Universal surgery problems with trivial Lagrangian

Year: 2019

Type: article

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.

Source: Mathematical Research Letters

DOI: 10.4310/mrl.2019.v26.n6.a2

Authors: Michael Freedman, Vyacheslav Krushkal

Institutions: University of California, Santa Barbara, University of Virginia

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2909197718

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