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The usual approach to computing empirical likelihood for the mean
uses Newton's method after eliminating a Lagrange multiplier and replacing the function- log(x) by a quadratic Taylor approximation t...
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...
Rational knot concordance and homology cobordism
Rational knot concordance homology cobordism
2010/11/24
The following is a long-standing open question: "If the zero-framed surgeries on two knots in the 3-sphere are integral homology cobordant, are the knots themselves concordant?" We show that an obvio...
An Injectivity Theorem for Casson-Gordon Type Representations relating to the Concordance of Knots and Links
Injectivity Theorem Casson-Gordon Type Representations Concordance of Knots and Links
2010/11/24
In the study of homology cobordisms, knot concordance and link concordance, the following technical problem arises frequently: let $\pi$ be a group and let $M \to N$ be a homomorphism between project...
Instantons, concordance, and Whitehead doubling
knot concordance Chern-Simons instanton Whitehead double
2010/12/14
We use moduli spaces of instantons and Chern-Simons invariants of flat connections to prove that the Whitehead doubles of (2, 2n − 1) torus knots are independent in the smooth knot concordance g...
Cha and Kim proved that if a knot K is not algebraically slice,then no iterated Bing double of K is concordant to the unlink. We prove that if K has nontrivial signature , then the n–iterated Bing do...