International audienceIt is conjectured that for each knot K in S-3, the fundamental group of its complement surjects onto only finitely many distinct knot groups. Applying character variety theory we obtain an affirmative solution of the conjecture for a class of small knots that includes two-bridge knots
Every two-bridge knot or link is characterized by a rational number p/q, and has a fundamental group...
We begin with an introduction to algebraic topology, knot theory, and SU(2) matrices as a subset of ...
We investigate great circle links in the three-sphere, the class of links where each compon...
It is conjectured that for each knot K in S3, the fundamental group of its complement surjects onto ...
Abstract. We find explicit models for the PSL2(C)- and SL2(C)-character varieties of the fundamental...
In this article we study a partial ordering on knots in S3 where K1 K2 if there is an epimorphism f...
AbstractA Heegaard splitting for S3 gives a 1-bridge presentation for a knot k⊂S3 if the knot inters...
A n-knot group is the fundamental group of the complement of an n-sphere smoothly embedded in Sn+2. ...
We call a knot in the 3-sphere SU(2)-simple if all representations of the fundamental group of its c...
For any given number of crossings c, there exists a formula to determine the number of 2-bridge knot...
The groups of high dimensional knots have been characterized by Kervaire [7], but there is still no ...
International audienceThis monograph contains three lecture series from the SMF school ``Geometric a...
In the present paper, we characterize the knot types of composite knots in the 3-sphere S3 with 1-br...
AbstractLet K1 and K2 be nontrivial knots in the 3-sphere S3. In this paper, we show that if the tun...
In this article we study a partial ordering on knots in S3 where K1≥K2 if there is an epimorphism fr...
Every two-bridge knot or link is characterized by a rational number p/q, and has a fundamental group...
We begin with an introduction to algebraic topology, knot theory, and SU(2) matrices as a subset of ...
We investigate great circle links in the three-sphere, the class of links where each compon...
It is conjectured that for each knot K in S3, the fundamental group of its complement surjects onto ...
Abstract. We find explicit models for the PSL2(C)- and SL2(C)-character varieties of the fundamental...
In this article we study a partial ordering on knots in S3 where K1 K2 if there is an epimorphism f...
AbstractA Heegaard splitting for S3 gives a 1-bridge presentation for a knot k⊂S3 if the knot inters...
A n-knot group is the fundamental group of the complement of an n-sphere smoothly embedded in Sn+2. ...
We call a knot in the 3-sphere SU(2)-simple if all representations of the fundamental group of its c...
For any given number of crossings c, there exists a formula to determine the number of 2-bridge knot...
The groups of high dimensional knots have been characterized by Kervaire [7], but there is still no ...
International audienceThis monograph contains three lecture series from the SMF school ``Geometric a...
In the present paper, we characterize the knot types of composite knots in the 3-sphere S3 with 1-br...
AbstractLet K1 and K2 be nontrivial knots in the 3-sphere S3. In this paper, we show that if the tun...
In this article we study a partial ordering on knots in S3 where K1≥K2 if there is an epimorphism fr...
Every two-bridge knot or link is characterized by a rational number p/q, and has a fundamental group...
We begin with an introduction to algebraic topology, knot theory, and SU(2) matrices as a subset of ...
We investigate great circle links in the three-sphere, the class of links where each compon...
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