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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/1754| Title: | Polynomial Unknotting and Singularity Index. |
| Authors: | MISHRA, RAMA Dept. of Mathematics |
| Keywords: | Polynomials Mathematical singularities Transformations (mathematics) Mathematical sequences Double point Immersion Unknotting number 2013 |
| Issue Date: | Jun-2013 |
| Publisher: | Department of Mathematics, Kyungpook National University |
| Citation: | Kyungpook Mathematical Journal, 54(2), 271-292. |
| Abstract: | We introduce a new method to transform a knot diagram into a diagram of an unknot using a polynomial representation of the knot. Here the unknotting sequence of a knot diagram with least number of crossing changes can be realized by a family of polynomial maps. The number of singular knots in this family is defined to be the singularity index of the diagram. We show that the singularity index of a diagram is always less than or equal to its unknotting number. |
| URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/1754 https://doi.org/10.5666/KMJ.2014.54.2.271 |
| ISSN: | 1225-6951 |
| Appears in Collections: | JOURNAL ARTICLES |
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