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

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

2011-04-22

arxiv.org/abs/1104.4435v1

Mathematics

Geometric Topology

14 pages, 9 figures

Scientific paper

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.

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