| H（2）-unknotting Number of a Knot |
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| 作者姓名： | TAIZO KANENOBU ;YASUYUKI MIYAZAWA |
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| 作者单位： | |
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| 基金项目： | Foundation item： The second author was partially supported by Grant-in-Aid （20540079） for Scientific Research （C）, Japan Society for the Promotion of Science. |
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| 摘 要： | 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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| 关 键 词： | 纽结 H(2)移动 符号 Arf不变量 Jones多项式 |
H(2)-unknotting Number of a Knot |
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| TAIZO KANENOBU,;YASUYUKI MIYAZAWA.H(2)-unknotting Number of a Knot[J].Northeastern Mathematical Journal,2009,25(5):433-460. |
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| Authors: | TAIZO KANENOBU YASUYUKI MIYAZAWA Akio Kawauchi |
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| Abstract: | knot, H（2）-move, H（2）-unknotting number, signature, Arf invariant,Jones polynomial, Q polynomial |
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| Keywords: | knot H(2)-move H(2)-unknotting number signature Arf invariant Jones polynomial Q polynomial |
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