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- Title
Linear Independence of Knots Arising from Iterated Infection Without the Use of Tristram–Levine Signature.
- Authors
Davis, Christopher William
- Abstract
We give an explicit construction of linearly independent families of knots arbitrarily deep in the (n)-solvable filtration of the knot concordance group using a metabelian ρ-invariant. A difference between previous constructions of infinite rank subgroups in the concordance group and ours is that the deepest infecting knots in the construction we present are allowed to have vanishing Tristram–Levine signatures.
- Subjects
LINEAR dependence (Mathematics); KNOT groups; ITERATIVE methods (Mathematics); GROUP theory; FREE metabelian groups; INVARIANTS (Mathematics); VANISHING theorems
- Publication
IMRN: International Mathematics Research Notices, 2014, Vol 2014, Issue 7, p1973
- ISSN
1073-7928
- Publication type
Article
- DOI
10.1093/imrn/rns277