Unknotting number and number of Reidemeister moves needed for unlinking |
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| Authors: | Chuichiro Hayashi Miwa Hayashi |
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| Institution: | a Department of Mathematical and Physical Sciences, Faculty of Science, Japan Women?s University, 2-8-1 Mejirodai, Bunkyo-ku, Tokyo 112-8681, Japan
b Department of Mathematics, Bar-Ilan University, Ramat-Gan 52900, Israel |
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| Abstract: | Using unknotting number, we introduce a link diagram invariant of type given in Hass and Nowik (2008) 4], which changes at most by 2 under a Reidemeister move. We show that a certain infinite sequence of diagrams of the trivial two-component link need quadratic number of Reidemeister moves for being splitted with respect to the number of crossings. |
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| Keywords: | 57M25 |
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