4 citations · 4 across the 1 of their papers we have counts for
3 papers
math.GT2013
The concordance classification of low crossing number knots
Julia Collins, Paul Kirk, Charles Livingston
We present the complete classification of the subgroup of the classical knot concordance group generated by knots with eight or fewer crossings. Proofs are presented in summary. We…
math.GT2012★ 4 cited
On the concordance orders of knots
Julia Collins
This thesis develops some general calculational techniques for finding the orders of knots in the topological concordance group C. The techniques currently available in the literat…
math.GT2010
The L^2 signature of torus knots
Julia Collins
We find a formula for the L2 signature of a (p,q) torus knot, which is the integral of the omega-signatures over the unit circle. We then apply this to a theorem of Cochran-Orr-Tei…