Abstract. The knot Floer complex and the concordance invariant ε can be used to define a filtration on the smooth concordance group. We exhibit an ordered subset of this filtration that is isomorphic to N × N and consists of topologically slice knots. 1
Abstract. For each sequence P = (p1(t), p2(t),...) of polynomials we define a characteristic series ...
Abstract. The n–solvable filtration {Fn}∞n=0 of the smooth knot concor-dance group (denoted by C), d...
Abstract. We present new results, announced in [T], on the classical knot concordance group C. We es...
Abstract. We propose and analyze a structure with which to organize the difference between a knot in...
We propose and analyze a structure with which to organize the difference between a knot in S3 boundi...
Abstract. In 1997, T. Cochran, K. Orr, and P. Teichner [12] defined a filtration of the classical kn...
We address primary decomposition conjectures for knot concordance groups, which predict direct sum d...
The bipolar filtration of Cochran, Harvey and Horn presents a framework of the study of deeper struc...
Abstract. Let T be the group of smooth concordance classes of topologically slice knots and suppose ...
Abstract. The existence of topologically slice knots that are of infinite order in the knot concorda...
Let C be the topological knot concordance group of knots S 1 ⊂ S 3 under connected sum modulo slice ...
We use the knot filtration on the Heegaard Floer complex dCF to define an integer invariant (K) for ...
Let Knots be the abelian monoid of isotopy classes of knots S1 ⊂ S3 under connected sum, and let C b...
The bipolar filtration of Cochran, Harvey and Horn presents a framework of the study of deeper struc...
I declare that this thesis was composed by myself and that the work contained herein is my own, exce...
Abstract. For each sequence P = (p1(t), p2(t),...) of polynomials we define a characteristic series ...
Abstract. The n–solvable filtration {Fn}∞n=0 of the smooth knot concor-dance group (denoted by C), d...
Abstract. We present new results, announced in [T], on the classical knot concordance group C. We es...
Abstract. We propose and analyze a structure with which to organize the difference between a knot in...
We propose and analyze a structure with which to organize the difference between a knot in S3 boundi...
Abstract. In 1997, T. Cochran, K. Orr, and P. Teichner [12] defined a filtration of the classical kn...
We address primary decomposition conjectures for knot concordance groups, which predict direct sum d...
The bipolar filtration of Cochran, Harvey and Horn presents a framework of the study of deeper struc...
Abstract. Let T be the group of smooth concordance classes of topologically slice knots and suppose ...
Abstract. The existence of topologically slice knots that are of infinite order in the knot concorda...
Let C be the topological knot concordance group of knots S 1 ⊂ S 3 under connected sum modulo slice ...
We use the knot filtration on the Heegaard Floer complex dCF to define an integer invariant (K) for ...
Let Knots be the abelian monoid of isotopy classes of knots S1 ⊂ S3 under connected sum, and let C b...
The bipolar filtration of Cochran, Harvey and Horn presents a framework of the study of deeper struc...
I declare that this thesis was composed by myself and that the work contained herein is my own, exce...
Abstract. For each sequence P = (p1(t), p2(t),...) of polynomials we define a characteristic series ...
Abstract. The n–solvable filtration {Fn}∞n=0 of the smooth knot concor-dance group (denoted by C), d...
Abstract. We present new results, announced in [T], on the classical knot concordance group C. We es...