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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 literature are either too t...
The link concordance invariant from Lee homology
link concordance invariant Lee homology Geometric Topology
2011/9/19
Abstract: We use the knot homology of Khovanov and Lee to construct link concordance invariants generalizing the Rasmussen $s$-invariant of knots. The relevant invariant for a link is a filtration on ...
Smooth concordance of links topologically concordant to the Hopf link
Smooth concordance of links Hopf link
2011/1/20
It was shown by Jim Davis that a 2-component link with Alexander polynomial one is topologically concordant to the Hopf link. In this paper, we show that there is a 2-component link with Alexander pol...