94 citations · 448 across the 56 of their papers we have counts for
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math.GT2001
Observations on Lickorish knotting of contractible 4-manifolds
Charles Livingston
Lickorish has constructed large families of contractible 4--manifolds that have knotted embeddings in the 4--sphere and has also shown that every finitely presented perfect group w…
math.GT2001★ 17 cited
The concordance genus of knots
Charles Livingston
In knot concordance three genera arise naturally, g(K), g_4(K), and g_c(K): these are the classical genus, the 4-ball genus, and the concordance genus, defined to be the minimum ge…
math.GT2001★ 42 cited
Seifert forms and concordance
Charles Livingston
If a knot K has Seifert matrix V_K and has a prime power cyclic branched cover that is not a homology sphere, then there is an infinite family of non-concordant knots having Seifer…