Some Congruence Modulo 2 Statements of Primitive Conway Vassiliev Invariants.

Author

James M. Dawson, University of Tennessee - Knoxville

Date of Award

8-2009

Degree Type

Thesis

Degree Name

Master of Science

Major

Mathematics

Major Professor

Jim Conant

Committee Members

Morwen Thistlethwaite, Nikolay Brodskiy

Abstract

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.

Recommended Citation

Dawson, James M., "Some Congruence Modulo 2 Statements of Primitive Conway Vassiliev Invariants.. " Master's Thesis, University of Tennessee, 2009.
https://trace.tennessee.edu/utk_gradthes/71