Some Congruence Modulo 2 Statements of Primitive Conway Vassiliev Invariants.
Date Issued
August 1, 2009
Author(s)
Dawson, James M
Advisor(s)
Jim Conant
Additional Advisor(s)
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.
Disciplines
Degree
Master of Science
Major
Mathematics
Embargo Date
December 1, 2011
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Name
DawsonJamesM.pdf
Size
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Format
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