The Character Varieties of Rational Links C(2n, 2m + 1, 2)
| dc.contributor.advisor | Tran, Anh T. | |
| dc.creator | Meyer, Bradley D. | |
| dc.date.accessioned | 2019-10-03T23:39:51Z | |
| dc.date.available | 2019-10-03T23:39:51Z | |
| dc.date.created | 2019-05 | |
| dc.date.issued | 2019-05 | |
| dc.date.submitted | May 2019 | |
| dc.date.updated | 2019-10-03T23:42:01Z | |
| dc.description.abstract | In this thesis we study the nonabelian SL2(C) character varieties of an infinite family of rational links. In chapter 1 we provide background information on rational knots and links and their character varieties. We also provide some properties of Chebyshev polynomials, which will be used in calculating the character varieties. In chapter 2 we first find a presentation for the knot group of C(2n, 2m + 1, 2). We then calculate the nonabelian character variety and prove that the character variety of C(2n, 2m + 1, 2) is irreducible unless n = 1, 1 or m = 1. | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | https://hdl.handle.net/10735.1/6962 | |
| dc.language.iso | en | |
| dc.rights | ©2019 Bradley D. Meyer, | |
| dc.subject | Knot theory | |
| dc.subject | Non-Abelian groups | |
| dc.subject | Chebyshev polynomials | |
| dc.title | The Character Varieties of Rational Links C(2n, 2m + 1, 2) | |
| dc.type | Thesis | |
| dc.type.material | text | |
| thesis.degree.department | Mathematics | |
| thesis.degree.grantor | The University of Texas at Dallas | |
| thesis.degree.level | Masters | |
| thesis.degree.name | MS |
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