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math.GT2009★ 26 cited
2-torsion in the n-solvable filtration of the knot concordance group
Tim D. Cochran, Shelly Harvey, Constance Leidy
In 1997 Cochran-Orr-Teichner introduced a natural filtration, called the n-solvable filtration, of the smooth knot concordance group, C. Its terms {F_n} are indexed by half integer…
math.GT2009★ 62 cited
Primary decomposition and the fractal nature of knot concordance
Tim D. Cochran, Shelly Harvey, Constance Leidy
For each sequence of polynomials, P=(p_1(t),p_2(t),...), we define a characteristic series of groups, called the derived series localized at P. Given a knot K in S^3, such a sequen…