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http://hdl.handle.net/11375/25082
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DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Boden, Hans U. | - |
dc.contributor.author | Chen, Jie | - |
dc.date.accessioned | 2019-12-02T21:50:25Z | - |
dc.date.available | 2019-12-02T21:50:25Z | - |
dc.date.issued | 2019 | - |
dc.identifier.uri | http://hdl.handle.net/11375/25082 | - |
dc.description.abstract | This thesis is largely expository, and we provide a survey on unknotting operations. We examine these local transformations for classical, virtual and welded knots and use their properties to calculate upper bounds on unknotting numbers. In addition, the thesis contains some original work, such as the definition and properties of the algebraic unknotting numbers of virtual and welded knots, an algebraic reformulation of t4-conjecture, and a new method to tell if a knot can be turned into a torus knot with one crossing change. | en_US |
dc.language.iso | en_US | en_US |
dc.subject | unknotting operation | en_US |
dc.subject | virtual knot | en_US |
dc.subject | unknotting number | en_US |
dc.subject | welded knot | en_US |
dc.title | Unknotting operations for classical, virtual and welded knots | en_US |
dc.type | Thesis | en_US |
dc.contributor.department | Mathematics and Statistics | en_US |
dc.description.degreetype | Thesis | en_US |
dc.description.degree | Master of Science (MSc) | en_US |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Description | Size | Format | |
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thesis_oct23.pdf | 543.36 kB | Adobe PDF | View/Open |
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