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Parity in knot theory and graph-links
The present monograph is devoted to low-dimensional topology in the context of two thriving theories: parity theory and theory of graph-links, the latter being an important generalization of virtual knot theory constructed by means of intersection graphs.
D. P. Ilyutko +4 more
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Geometric knot theory studies relations between geometric properties of a space curve and the knot type it represents. As examples, knotted curves have quadrisecant lines, and have more distortion and more total curvature than (some) unknotted curves ...
D. Buck +3 more
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Mathematical Notes, 2022
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, 2020
This book is an introduction to hyperbolic geometry in dimension three, and its applications to knot theory and to geometric problems arising in knot theory. It has three parts.
Jessica S. Purcell
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This book is an introduction to hyperbolic geometry in dimension three, and its applications to knot theory and to geometric problems arising in knot theory. It has three parts.
Jessica S. Purcell
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The Gordian Knot of Disposition Theory
J. Media Psychol. Theor. Methods Appl., 2020. Morally ambiguous characters are often perceived to challenge Zillmann’s affective disposition theory of drama.
M. Grizzard +5 more
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Big Data Approaches to Knot Theory: Understanding the Structure of the Jones Polynomial
Journal of knot theory and its ramifications, 2019In this paper, we examine the properties of the Jones polynomial using dimensionality reduction learning techniques combined with ideas from topological data analysis.
Jesse S. F. Levitt +2 more
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Knotting Mechanisms and a Knotting Theory
Volume 1B: 25th Biennial Mechanisms Conference, 1998Abstract In the filed of remote manipulation, it is generally required to manipulate objects through elongated tools or through a tele-operation system. In the field of EndoSurgery, one of the challenging tasks for the surgeons is the notion of knotting a suture.
Shahram Payandeh, Alan J. Lomax
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Proceedings of the Steklov Institute of Mathematics, 2018
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Representation theory and the A-polynomial of a knot
Chaos, Solitons & Fractals, 1998Let \(X\) be a compact \(3\)-manifold with a single torus boundary component. In the paper [Invent. Math. 118, No. 1, 47-84 (1994; Zbl 0842.57013)], the authors (with \textit{M. Culler, H. Gillet}, and \textit{P. B. Shalen}) describe a certain affine algebraic curve which comes from the affine algebraic set of representations of the fundamental group \(
Cooper, D., Long, D. D.
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