5 citations · 6 across the 6 of their papers we have counts for
6 papers
On the semi-threading of knot diagrams with minimal overpasses
Jae-Wook Chung, Seulgi Jeong, Dongseok Kim
Given a knot diagram , we construct a semi-threading circle for it which can be an axis of as a closed braid depending on knot diagrams. In particular, we consider semi-thre…
The invariant of n-punctured ball tangles
Jae-Wook Chung
Based on the Kauffman bracket at , we defined an invariant for a special type of -punctured ball tangles. The invariant takes values in the set $PM_{2\times2^…
Torsion of Quasi-Isomorphisms
Jae-Wook Chung, Xiao-Song Lin
In this paper, we introduce the notion of Reidemeister torsion for quasi-isomorphisms of based chain complexes over a field. We call a chain map a quasi-isomorphism if its induced…
The Algebraic Structure of n-Punctured Ball Tangles
Jae-Wook Chung
We consider a class of topological objects in the 3-sphere which will be called -punctured ball tangles. Using the Kauffman bracket at , an invariant for a sp…
On n-punctured ball tangles
Jae-Wook Chung, Xiao-Song Lin
We consider a class of topological objects in the 3-sphere which will be called {\it -punctured ball tangles}. Using the Kauffman bracket at , an invariant for…
On the bridge number of knot diagrams with minimal crossings
Jae-Wook Chung, Xiao-Song Lin
Given a diagram of a knot , we consider the number of crossings and the number of overpasses of . We show that, if is a diagram of a nontrivial knot …