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Classical Knot Theory
Published 2012-03-01“…This paper is a very brief introduction to knot theory. It describes knot coloring by quandles, the fundamental group of a knot complement, and handle-decompositions of knot complements.…”
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Elementary knot theory
Published 2017“…In the past 50 years, knot theory has become an extremely well-developed subject. …”
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Introduction to disoriented knot theory
Published 2018-04-01“…This paper is an introduction to disoriented knot theory, which is a generalization of the oriented knot and link diagrams and an exposition of new ideas and constructions, including the basic definitions and concepts such as disoriented knot, disoriented crossing and Reidemesiter moves for disoriented diagrams, numerical invariants such as the linking number and the complete writhe, the polynomial invariants such as the bracket polynomial, the Jones polynomial for the disoriented knots and links.…”
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Knot theory and entanglement in biopolymers
Published 2020“…This correspondence allows us to study knotoids through tools and invariants coming from knot theory. By using the theory we developed, we investigate the toplogical relation between knotoids differing by small perturbations on the direction of projection. …”
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Physical and numerical models in knot theory : including applications to the life sciences /
Published 2005Subjects: “…Knot theory…”
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Temperley–lieb algebra: from knot theory to logic and computation via quantum mechanics
Published 2007Book section -
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Temperley−Lieb algebra: From knot theory to logic and computation via quantum mechanics
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A Haptic Model for the Quantum Phase of Fermions and Bosons in Hilbert Space Based on Knot Theory
Published 2019-03-01Subjects: “…knot theory…”
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The mathematical theory of knots and Braids: an introduction/
Published 1983Subjects: “…Knot theory…”
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