H(2)-Unknotting Number of a Knot
Year: 2009
Author: Taizo Kanenobu, Yasuyuki Miyazawa
Communications in Mathematical Research , Vol. 25 (2009), Iss. 5 : pp. 433–460
Abstract
An H(2)-move is a local move of a knot which is performed by adding a half-twisted band. It is known an H(2)-move is an unknotting operation. We define the H(2)-unknotting number of a knot K to be the minimum number of H(2)-moves needed to transform K into a trivial knot. We give several methods to estimate the H(2)-unknotting number of a knot. Then we give tables of H(2)-unknotting numbers of knots with up to 9 crossings.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-CMR-19362
Communications in Mathematical Research , Vol. 25 (2009), Iss. 5 : pp. 433–460
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 28
Keywords: knot H(2)-move H(2)-unknotting number signature Arf invariant Jones polynomial Q polynomial.
Author Details
Taizo Kanenobu Email
Yasuyuki Miyazawa Email