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Mathematics

Masters Theses

Theses/Dissertations

2009

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Full-Text Articles in Physical Sciences and Mathematics

Some Congruence Modulo 2 Statements Of Primitive Conway Vassiliev Invariants., James M. Dawson Aug 2009

Some Congruence Modulo 2 Statements Of Primitive Conway Vassiliev Invariants., James M. Dawson

Masters Theses

Polynomial knot invariants can often be used to define Vassiliev invariants on singu- lar knots. Here Vassiliev invariants form the Conway, Jones, HOMFLY, and Kauffman 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 find expressions that are congruent modulo 2 to some low degree invariants derived from the Primitive Conway polynomial.