Star cocircularities of knots
| dc.contributor.author | Flowers, Garret | |
| dc.contributor.supervisor | Budney, Ryan David | |
| dc.date.accessioned | 2011-07-15T20:13:08Z | |
| dc.date.available | 2011-07-15T20:13:08Z | |
| dc.date.copyright | 2011 | en_US |
| dc.date.issued | 2011-07-15 | |
| dc.degree.department | Department of Mathematics and Statistics | |
| dc.degree.level | Master of Science M.Sc. | en_US |
| dc.description.abstract | The study of knot invariants is a large and active area of research in the field of knot theory. In the early 1990s, Russian mathematican Victor Vassiliev developed a series of numerical knot invariants, now known as Vassiliev invariants. These invariants have sparked a great deal of interest in the mathematical community, and it is conjectured that, together, they formulate a complete knot invariant. The computation of these invariants is largely algebraic, and unfortunately the values do not appear to describe any intrinsic properties of the knot. In this thesis, a geometric interpretation of the second Vassiliev invariant is provided by examining occurrances of five distinct points on the knot that lie on a common circle in the ambient space. This process is then extended to include an analysis of six-point cocircularities of knots as well. | en_US |
| dc.description.scholarlevel | Graduate | en_US |
| dc.identifier.uri | http://hdl.handle.net/1828/3405 | |
| dc.language | English | eng |
| dc.language.iso | en | en_US |
| dc.rights.temp | Available to the World Wide Web | en_US |
| dc.subject | knot theory | en_US |
| dc.subject | differential topology | en_US |
| dc.subject | satanic | en_US |
| dc.subject | thelemic | en_US |
| dc.subject | cocircularity | en_US |
| dc.title | Star cocircularities of knots | en_US |
| dc.type | Thesis | en_US |