Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 200 for “"knot"”.
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WAI-KNOT (Wireless Audio Interactive Knot)
… To prove this, I built a platform called WAI-KNOT (for Wireless Audio Interactive Knot) in order to examine the latency issues as well as other design elements, and test their viability and impact on real music making. The Sound Transformer is a WAI-KNOT application.
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Knot polynomials
One of the most important invariants of the Knot type, is the one called Knot polynomials. The Knot polynomials are somehow easy to calculate, or at least they are easier to handle than other invariants of the Knot type, such as the presentation of the group of the Knot, or the elementary ideals. …
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Why knot?
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Architecture, 1991.
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Combinatorial Knot Floer Homology
Knot Floer Homology HFK(K) of a knot K in S^3 was defined by Peter Ozsváth and Zoltan Szabó in 2003. It has since become powerful invariant for the study of properties of knots. The definition of the Knot Floer Homology groups initially involved counting holomorphic disks in symmetric products of …
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A study of knot-graphs
This thesis is an account of studies made of knot projections, the tools used being graph-theoretic methods and extensions of them. The basic tool is the adjacency matrix. In fact several kinds of adjacency matrix are defined, for knot diagrams which are either nonoriented or are given orientations …
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Quandles that are Knot Quandles
… papers that introduce the relationship between knots and quandles which are written tersely and focus mainly on applications or implications. Here, we will take time to explain in depth how to derive quandles from oriented knots. Starting with an rigorous introduction to what a knot is and what …
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A Survey of Knot Theory
… know theory. To discuss the classical branch of knot theory, where the not groups are defined, we make the necessary topological and algebraic developments. The van Kampen theorem is stated and used to find knot groups in the traditional way, and also in a fashion that standard texts do not …
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Knot Floer Homology and Categorification
… of better understanding the connections between knot homology theories arising from categorification and from Heegaard Floer homology, we present a self-contained construction of knot Floer homology in the language of HOMFLY-PT homology. Using the cube of resolutions for knot Floer homology …
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Knot complements and 3-manifolds
… 3-manifold groups and see what it shows for the knot complement as a compact 3-manifold. We will also apply some combinatorial methods in three-manifold topology to the study of the presentation of the knot complement.
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Witt Rings and Algebraic Knot Concordance
The (knot) concordance group was introduced by Fox and Milnor in 1966. Since then some progress has been made studying both slice knots and concordance, though even some basic questions remain unanswered. We discuss the construction of the concordance group starting from knotted circles in S^3. Of …
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The untwisting number of a knot
The unknotting number of a knot is the minimum number of crossings one must change to turn that knot into the unknot. The algebraic unknotting number is the minimum number of crossing changes needed to transform a knot into an Alexander polynomial-one knot. We work with a generalization of …
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First Order Signatures and Knot Concordance
Invariants of knots coming from twisted signatures have played a central role in the study of knot concordance. Unfortunately, except in the simplest of cases, these signature invariants have proven exceedingly difficult to compute. As a consequence, many knots which presumably can be detected by …
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Adaptive knot location for spline approximation.
Thesis. 1976. M.S.--Massachusetts Institute of Technology. Dept. of Electrical Engineering and Computer Science.
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Crossing Number Bounds of Mosaic Knot Diagrams
… on crossing number of certain mosaic diagrams of knots in terms of winding number for knot diagrams that make only counterclockwise turns. Next we begin drawing mosaic diagrams that have a more grid-like structure and no crossings. This grid structure of a knot is similar to a ``grid diagram" …
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Knot/Knotting Practice in Craft and Space
Knot/knotting Practice in Craft and Space is a three part research-creation project that used a study of knotting techniques to locate craft in an expanded field of spatial practice. The first part consisted of practical, studio based exercises in which I worked with various natural and synthetic …
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Invariance of Knot Lattice Homology and Homotopy
… and complex curves inside them. We prove that knot lattice homology is an invariant of the smooth knot type of a generalized algebraic knot in a rational homology sphere. In that case, knot lattice homology can be realized as the cellular homology of a doubly-filtered homotopy type, which is …
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Error Bounds Between the Minimum Distance Energy of an Equilateral Knot and the Mobius Energy of an Inscribed Smooth Knot
This thesis explores mathematical knots and energy functions defined for them. Specifically, we explore the question of whether or not the Minimum Distance Energy of an equilateral knot is close to the Mobius Energy of a smooth knot where the smooth knot is inscribed in the equilateral knot in a …
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Left-orderability of Dehn surgeries on knot complements
… this criterion to prove that the two-bridge knot that corresponds to the continued fraction [1,1,2,2,2j] for j >= 1 and the (-3,3,2j+1)-pretzel knot admit an interval of left orderable Dehn surgeries. These two families of knots gives some positive evidence for a question of Xinghua Gao.
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Closed surfaces in knot complements and 3-manifolds
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2024-09-16 without embargo terms
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