Link concordance

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

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.

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[edit] 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. MR 2179265 ISBN 0-444-51452-X