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math.GT2011
Linear Independence of Knots Arising from Iterated Infection Without the Use of Tristram Levine Signatures
Christopher William Davis
We give an explicit construction of linearly independent families of knots arbitrarily deep in the (n)-solvable filtration of the knot concordance group using the ρ^1-invariant. A…
math.GT2011
Strong coprimality and strong irreducibility of Alexander polynomials
Evan M. Bullock, Christopher William Davis
A polynomial f(t) with rational coefficients is strongly irreducible if f(t^k) is irreducible for all positive integers k. Likewise, two polynomials f and g are strongly coprime if…