Add to ORKGAbstract. We introduce a new technique for showing classical knots and links are not slice. As one application we show that the iterated Bing doubles of many algebraically slice knots are not topologically slice. Some of the proofs do not use the existence of the Cheeger-Gromov bound, a deep analytical tool used by Cochran-Teichner. Our main examples are actually boundary links but cannot be detected in the algebraic boundary link concordance group, nor by any ρ invariants associated to solvable representations into finite unitary groups. 1
We address primary decomposition conjectures for knot concordance groups, which predict direct sum d...
We introduce a new link invariant called the algebraic genus, which gives an upper bound for the top...
We propose and analyze a structure with which to organize the difference between a knot in S3 boundi...
We give a new geometric obstruction to the iterated Bing double of a knot being a slice link: for n ...
AbstractIt is known that the linking form on the 2-cover of slice knots has a metabolizer. We show t...
The bipolar filtration introduced by T Cochran, S Harvey and P Horn is a framework for the study of ...
Abstract. In 1997, T. Cochran, K. Orr, and P. Teichner [12] defined a filtration of the classical kn...
The bipolar filtration introduced by T Cochran, S Harvey and P Horn is a framework for the study of ...
Knots and links play an important role in 3-manifolds and the equiva- lence relation of concordance ...
Knots and links play an important role in 3-manifolds and the equiva- lence relation of concordance ...
Shake slice generalizes the notion of a slice link, naturally extending the notion of shake slice kn...
In 1976, Rudolph asked whether algebraic knots are linearly independent in the knot concordance grou...
Abstract. For certain classes of knots we define geometric invariants called higher-order genera. Ea...
Let C be the topological knot concordance group of knots S 1 ⊂ S 3 under connected sum modulo slice ...
The bipolar filtration introduced by T Cochran, S Harvey and P Horn is a framework for the study of ...
We address primary decomposition conjectures for knot concordance groups, which predict direct sum d...
We introduce a new link invariant called the algebraic genus, which gives an upper bound for the top...
We propose and analyze a structure with which to organize the difference between a knot in S3 boundi...
We give a new geometric obstruction to the iterated Bing double of a knot being a slice link: for n ...
AbstractIt is known that the linking form on the 2-cover of slice knots has a metabolizer. We show t...
The bipolar filtration introduced by T Cochran, S Harvey and P Horn is a framework for the study of ...
Abstract. In 1997, T. Cochran, K. Orr, and P. Teichner [12] defined a filtration of the classical kn...
The bipolar filtration introduced by T Cochran, S Harvey and P Horn is a framework for the study of ...
Knots and links play an important role in 3-manifolds and the equiva- lence relation of concordance ...
Knots and links play an important role in 3-manifolds and the equiva- lence relation of concordance ...
Shake slice generalizes the notion of a slice link, naturally extending the notion of shake slice kn...
In 1976, Rudolph asked whether algebraic knots are linearly independent in the knot concordance grou...
Abstract. For certain classes of knots we define geometric invariants called higher-order genera. Ea...
Let C be the topological knot concordance group of knots S 1 ⊂ S 3 under connected sum modulo slice ...
The bipolar filtration introduced by T Cochran, S Harvey and P Horn is a framework for the study of ...
We address primary decomposition conjectures for knot concordance groups, which predict direct sum d...
We introduce a new link invariant called the algebraic genus, which gives an upper bound for the top...
We propose and analyze a structure with which to organize the difference between a knot in S3 boundi...