6 papers
Parameterizations of 1-bridge torus knots
Doo Ho Choi, Ki Hyoung Ko
A 1-bridge torus knot in a 3-manifold of genus is a knot drawn on a Heegaard torus with one bridge. We give two types of normal forms to parameterize the family of 1-bridge…
Signatures of covering links
Jae Choon Cha, Ki Hyoung Ko
The theory of signature invariants of links in rational homology spheres is applied to covering links of homology boundary links. From patterns and Seifert matrices of homology bou…
Signatures of links in rational homology spheres
Jae Choon Cha, Ki Hyoung Ko
A theory of signatures for odd-dimensional links in rational homology spheres is studied via their generalized Seifert surfaces. The jump functions of signatures are shown invarian…
Positive presentations of the braid groups and the embedding problem
Jae Woo Han, Ki Hyoung Ko
A large class of positive finite presentations of the braid groups is found and studied. It is shown that no presentations but known exceptions in this class have the property that…
The infimum, supremum and geodesic length of a braid conjugacy class
Joan S. Birman, Ki Hyoung Ko, Sang Jin Lee
Algorithmic solutions to the conjugacy problem in the braid groups B_n were given by Elrifai-Morton in 1994 and by the authors in 1998. Both solutions yield two conjugacy class inv…
A new approach to the word and conjugacy problems in the braid groups
Joan S. Birman, K. H. Ko, J. S. Lee
A new presentation of the -string braid group is studied. Using it, a new solution to the word problem in is obtained which retains most of the desirable features of…