Date of Award
Master of Science
Morwen Thistlethwaite, Nikolay Brodskiy
Polynomial knot invariants can often be used to dene Vassiliev invariants on singu- lar knots. Here Vassiliev invariants form the Conway, Jones, HOMFLY, and Kauman polynomials are explored. Also, some explanation is given about how symbols of the Jones and Conway polynomial can evaluated on suitable chord diagrams. These in- variants are further used to nd expressions that are congruent modulo 2 to some low degree invariants derived from the Primitive Conway polynomial.
Dawson, James M., "Some Congruence Modulo 2 Statements of Primitive Conway Vassiliev Invariants.. " Master's Thesis, University of Tennessee, 2009.