Add to ORKGtextWe study knots that lie as essential simple closed curves on the fiber of a genus one fibered knot in S 3 . We determine certain surgery descriptions of these knots that enable estimates on volumes of these knots. We also develop an algorithm to list all closed essential surfaces in the complement of a given knot in this family. Relationships between the volumes of such knots and the surfaces in their exteriors is then examined.Mathematic
A knot made out of a string are often deformed in space without cutting open the closed knot.The def...
Thesis advisor: Julia E. Grigsby"Ozsváth, Stipsicz and Szabó define a one-parameter family {ϒᴋ(t)}t∈...
In this thesis, we study knots and links via their alternating diagrams on closed orientable surface...
textWe study knots that lie as essential simple closed curves on the fiber of a genus one fibered k...
Thesis advisor: Tao LiThis dissertation explores a relationship between fibered knots and Heegaard s...
textThe results presented in this thesis pertain to two distinct areas of low-dimensional topology. ...
Using the correction terms in Heegaard Floer homology, we prove that if a knot in S3 admits a positi...
This thesis is situated in the mathematical field of low-dimensional topology and is concerned with ...
In this paper we begin to classify fiberedness of "Almost-Montesinos" knots, a generalization of Mo...
Classically, the study of knots and links has proceeded topologically looking for features of knotte...
We show that, for hyperbolic fibred knots in the three-sphere, the volume and the genus are unrelate...
This is a companion paper to earlier work of the authors, which proved an integral surgery formula f...
In this paper, dedicated to Prof. Lou Kauffman, we determine the Thurston''s geometry possesed by an...
A knot is a circle piecewise-linearly embedded into the 3-sphere. The topology of a knot is intimate...
There are several knot invariants in the literature that are defined using singular instantons. Such...
A knot made out of a string are often deformed in space without cutting open the closed knot.The def...
Thesis advisor: Julia E. Grigsby"Ozsváth, Stipsicz and Szabó define a one-parameter family {ϒᴋ(t)}t∈...
In this thesis, we study knots and links via their alternating diagrams on closed orientable surface...
textWe study knots that lie as essential simple closed curves on the fiber of a genus one fibered k...
Thesis advisor: Tao LiThis dissertation explores a relationship between fibered knots and Heegaard s...
textThe results presented in this thesis pertain to two distinct areas of low-dimensional topology. ...
Using the correction terms in Heegaard Floer homology, we prove that if a knot in S3 admits a positi...
This thesis is situated in the mathematical field of low-dimensional topology and is concerned with ...
In this paper we begin to classify fiberedness of "Almost-Montesinos" knots, a generalization of Mo...
Classically, the study of knots and links has proceeded topologically looking for features of knotte...
We show that, for hyperbolic fibred knots in the three-sphere, the volume and the genus are unrelate...
This is a companion paper to earlier work of the authors, which proved an integral surgery formula f...
In this paper, dedicated to Prof. Lou Kauffman, we determine the Thurston''s geometry possesed by an...
A knot is a circle piecewise-linearly embedded into the 3-sphere. The topology of a knot is intimate...
There are several knot invariants in the literature that are defined using singular instantons. Such...
A knot made out of a string are often deformed in space without cutting open the closed knot.The def...
Thesis advisor: Julia E. Grigsby"Ozsváth, Stipsicz and Szabó define a one-parameter family {ϒᴋ(t)}t∈...
In this thesis, we study knots and links via their alternating diagrams on closed orientable surface...