McCoy, Duncan and Zentner, Raphael (2023) The Montesinos trick for proper rational tangle replacement. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 151. pp. 1811-1822. ISSN 0002-9939, 1088-6826
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Recently Iltgen, Lewark and Marino introduced the concept of a proper rational tangle replacement and the corresponding notion of the proper rational unknotting number. In this note we derive a version of the Montesinos trick for proper rational tangle replacement and use it to study knots with proper rational unknotting number one. We prove that knots with proper rational unknotting number one are prime and classify the alternating knots with proper rational unknotting number one. We also study Montesinos knots with proper rational unknotting number one.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | NUMBER ONE KNOTS; FLOER HOMOLOGY; SURGERY; PRIME |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 22 Mar 2024 11:02 |
| Last Modified: | 22 Mar 2024 11:04 |
| URI: | https://pred.uni-regensburg.de/id/eprint/59782 |
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