Link concordance

Link concordance

In mathematics two links L_0 subset S^n and L_1 subset S^n are concordant if there is an embedding f : L_0 imes [0,1] o S^n imes [0,1] such that f(L_0 imes {0}) = L_0 imes {0} and f(L_0 imes {1}) = L_1 imes {1}.

By its nature, link concordance is an equivalence relation. The linking number of any two components of a link is one of the most elementary concordance invariants. The signature of a knot is also a concordance invariant.

References

* J.Hillman, Algebraic invariants of links. Series on Knots and everything. Vol 32. World Scientific.

* Livingston, Charles, A survey of classical knot concordance, in: "Handbook of knot theory", pp 319–347, Elsevier, Amsterdam, 2005. MathSciNet | id = 2179265 ISBN 0-444-51452-X


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