Add to ORKGWe show that a knot in $S^3$ with an infinite number of distinct incompressible Seifert surfaces contains a closed incompressible surface in its complement
AbstractA knot k in S3 has tunnel number one, if there exist an arc τ embedded in S3, with k∩τ=∂τ, s...
This thesis investigates the intersection between knot theory and the theory of 3-manifolds. 3-manif...
AbstractIn this paper, we characterize closed incompressible surfaces of genus two in the complement...
. We show that any closed incompressible surface in the complement of a positive knot is algebraica...
Abstract. We give a necessary and sucient condition for knots to bound incompressible non-free Seife...
A Seifert surface for a knot in ℝ³ is a compact orientable surface whose boundary is the knot. Seife...
AbstractWe prove that the complements of all knots and links in S3 which have a 2n-plat projection w...
Abstract. We show that any closed incompressible surface in the comple-ment of a positive knot is al...
We give a description of all.1; 2/–knots in S3 which admit a closed meridionally incompressible surf...
Let K be a knot in S3 of genus g and let n> 0: We show that if rk1HFK.K;g / < 2nC1 (where1HFK ...
Abstract. We show that if there exists an essential accidental surface in the knot exterior, then a ...
A regular circle-valued Morse function on the knot complement C(K) = S^3\K is a function f ...
Abstract. In this paper we show that given a knot or link K in a 2n-plat projection with n 3 and m ...
AbstractWe study non-orientable Seifert surfaces for knots in the 3-sphere, and examine their bounda...
Ph.D.MathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue....
AbstractA knot k in S3 has tunnel number one, if there exist an arc τ embedded in S3, with k∩τ=∂τ, s...
This thesis investigates the intersection between knot theory and the theory of 3-manifolds. 3-manif...
AbstractIn this paper, we characterize closed incompressible surfaces of genus two in the complement...
. We show that any closed incompressible surface in the complement of a positive knot is algebraica...
Abstract. We give a necessary and sucient condition for knots to bound incompressible non-free Seife...
A Seifert surface for a knot in ℝ³ is a compact orientable surface whose boundary is the knot. Seife...
AbstractWe prove that the complements of all knots and links in S3 which have a 2n-plat projection w...
Abstract. We show that any closed incompressible surface in the comple-ment of a positive knot is al...
We give a description of all.1; 2/–knots in S3 which admit a closed meridionally incompressible surf...
Let K be a knot in S3 of genus g and let n> 0: We show that if rk1HFK.K;g / < 2nC1 (where1HFK ...
Abstract. We show that if there exists an essential accidental surface in the knot exterior, then a ...
A regular circle-valued Morse function on the knot complement C(K) = S^3\K is a function f ...
Abstract. In this paper we show that given a knot or link K in a 2n-plat projection with n 3 and m ...
AbstractWe study non-orientable Seifert surfaces for knots in the 3-sphere, and examine their bounda...
Ph.D.MathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue....
AbstractA knot k in S3 has tunnel number one, if there exist an arc τ embedded in S3, with k∩τ=∂τ, s...
This thesis investigates the intersection between knot theory and the theory of 3-manifolds. 3-manif...
AbstractIn this paper, we characterize closed incompressible surfaces of genus two in the complement...