H(2)-Unknotting Operation Related to 2-Bridge Links

Abstract

This paper concerns the H(2)-unknotting numbers of links related to 2-bridge links. It consists of three parts. In the first part, we consider a necessary and sufficient condition for a 2-bridge link to have H(2)-unknotting number one. The second part concerns an explicit form of composite links with H(2)-unknotting number one. In the last part, we develop a method of studying the H(2)-unknotting numbers of some tangle unknotting number one knots via 2-bridge knots.

14 pages, 9 figures

References in corpus (4)

• Lens space surgeries and L-space homology spheres
• A concordance invariant from the Floer homology of +/- 1 surgeries
• The lens space realization problem
• A note on knots with H(2)-unknotting number one