3 papers
math.GT2001
Polynomial splittings of Casson-Gordon invariants
Se-Goo Kim
In this paper we prove that the Casson-Gordon invariants of the connected sum of two knots split when the Alexander polynomials of the knots are coprime. As one application, for an…
math.GT2000
Invertible knot concordances and prime knots
Se-Goo Kim
Kirby and Lickorish showed that every knot in the 3-sphere is concordant to a prime knot, equivalently, every concordance class contains a prime knot. We prove here that their resu…
math.GT1999
Virtual Knot Groups
Se-Goo Kim
Virtual knots, defined by Kauffman, provide a natural generalization of classical knots. Most invariants of knots extend in a natural way to give invariants of virtual knots. In th…