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Naive Kink Equivalence and Doubles of Essential Definite Surfaces

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title
Naive Kink Equivalence and Doubles of Essential Definite Surfaces
author
Tolbert, John
abstract
Spanning surfaces are fundamental objects in the study of knots, and there are a number of operations that can be performed on spanning surfaces to produce other spanning surfaces. Some of these- kinking and tubing moves- also preserve the underlying knot, and all spanning surfaces can be expressed as the result of applying a series of kinking and tubing moves to an underlying "essential" surface. This paper addresses two questions associated to spanning surfaces.
subject
Definite
Goeritz matrix
Knot
Quadratic form
Spanning surface
Unimodular congruence
contributor
Howards, Hugh (advisor)
Kindred, Thomas (committee member)
Moore, William F (committee member)
date
2024-05-23T08:36:10Z (accessioned)
2024-05-23T08:36:10Z (available)
2024 (issued)
degree
Mathematics (discipline)
identifier
http://hdl.handle.net/10339/109413 (uri)
language
en (iso)
publisher
Wake Forest University
type
Thesis

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