The universal \(sl_2\) invariant and Milnor invariants (Q2836250)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The universal \(sl_2\) invariant and Milnor invariants |
scientific article; zbMATH DE number 6662347
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The universal \(sl_2\) invariant and Milnor invariants |
scientific article; zbMATH DE number 6662347 |
Statements
9 December 2016
0 references
link
0 references
quantum invariant
0 references
Jones polynomial
0 references
universal invariant
0 references
Milnor invariant
0 references
weight system
0 references
0 references
The universal \(sl_2\) invariant and Milnor invariants (English)
0 references
In the paper under review, the authors find explicit relations between the universal \(sl_2\) invariant of string links and Milnor invariants. The authors define a reduction of the universal \(sl_2\) invariant and show how it is controlled by Milnor concordance invariants. A stronger reduction is shown to correspond to Milnor link homotopy invariants. This gives explicit criteria for invariance under concordance and link homotopy and, in particular, for sliceness. The results of the paper also provide a partial construction of weight systems of the universal \(sl_2\) invariant.NEWLINENEWLINEThe authors also point out that they do not expect that the universal \(sl_2\) invariant detects Milnor invariants, in general.
0 references
