Add to ORKGAbstract. Let T be the group of smooth concordance classes of topologically slice knots and suppose · · · ⊂ Tn+1 ⊂ Tn ⊂ · · · T2 ⊂ T1 ⊂ T0 ⊂ T is the bipolar filtration of T. We show that T0/T1 has infinite rank, even modulo Alexander polynomial one knots. Recall that knots in T0 (a topologically slice 0-bipolar knot) necessarily have zero τ, s and -invariants. Our invariants are detected using certain d-invariants associated to the 2-fold branched covers. 1
Abstract. Cochran-Orr-Teichner introduced in [11] a natural filtration of the smooth knot concordanc...
AbstractLet CT be the subgroup of the smooth knot concordance group generated by topologically slice...
Let C be the topological knot concordance group of knots S 1 ⊂ S 3 under connected sum modulo slice ...
The bipolar filtration of Cochran, Harvey and Horn presents a framework of the study of deeper struc...
The bipolar filtration of Cochran, Harvey and Horn presents a framework of the study of deeper struc...
We propose and analyze a structure with which to organize the difference between a knot in S3 boundi...
The bipolar filtration introduced by T Cochran, S Harvey and P Horn is a framework for the study of ...
Abstract. We propose and analyze a structure with which to organize the difference between a knot in...
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 ...
Abstract. For each sequence P = (p1(t), p2(t),...) of polynomials we define a characteristic series ...
Abstract. The knot Floer complex and the concordance invariant ε can be used to define a filtration ...
Abstract. The existence of topologically slice knots that are of infinite order in the knot concorda...
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...
Abstract. Cochran-Orr-Teichner introduced in [11] a natural filtration of the smooth knot concordanc...
AbstractLet CT be the subgroup of the smooth knot concordance group generated by topologically slice...
Let C be the topological knot concordance group of knots S 1 ⊂ S 3 under connected sum modulo slice ...
The bipolar filtration of Cochran, Harvey and Horn presents a framework of the study of deeper struc...
The bipolar filtration of Cochran, Harvey and Horn presents a framework of the study of deeper struc...
We propose and analyze a structure with which to organize the difference between a knot in S3 boundi...
The bipolar filtration introduced by T Cochran, S Harvey and P Horn is a framework for the study of ...
Abstract. We propose and analyze a structure with which to organize the difference between a knot in...
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 ...
Abstract. For each sequence P = (p1(t), p2(t),...) of polynomials we define a characteristic series ...
Abstract. The knot Floer complex and the concordance invariant ε can be used to define a filtration ...
Abstract. The existence of topologically slice knots that are of infinite order in the knot concorda...
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...
Abstract. Cochran-Orr-Teichner introduced in [11] a natural filtration of the smooth knot concordanc...
AbstractLet CT be the subgroup of the smooth knot concordance group generated by topologically slice...
Let C be the topological knot concordance group of knots S 1 ⊂ S 3 under connected sum modulo slice ...