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Knots, Low-Dimensional Topology and Applications

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Cover of 'Knots, Low-Dimensional Topology and Applications'

Table of Contents

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    Book Overview
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    Chapter 1 A Survey of Hyperbolic Knot Theory
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    Chapter 2 Spanning Surfaces for Hyperbolic Knots in the 3-Sphere
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    Chapter 3 On the Construction of Knots and Links from Thompson’s Groups
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    Chapter 4 Virtual Knot Theory and Virtual Knot Cobordism
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    Chapter 5 Knot Theory: From Fox 3-Colorings of Links to Yang–Baxter Homology and Khovanov Homology
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    Chapter 6 Algebraic and Computational Aspects of Quandle 2-Cocycle Invariant
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    Chapter 7 A Survey of Quantum Enhancements
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    Chapter 8 From Alternating to Quasi-Alternating Links
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    Chapter 9 Hoste’s Conjecture and Roots of the Alexander Polynomial
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    Chapter 10 A Survey of Grid Diagrams and a Proof of Alexander’s Theorem
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    Chapter 11 Extending the Classical Skein
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    Chapter 12 From the Framisation of the Temperley–Lieb Algebra to the Jones Polynomial: An Algebraic Approach
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    Chapter 13 A Note on $$\mathfrak {gl}_{m|n}$$ Link Invariants and the HOMFLY–PT Polynomial
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    Chapter 14 On the Geometry of Some Braid Group Representations
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    Chapter 15 Towards a Version of Markov’s Theorem for Ribbon Torus-Links in $$\mathbb {R}^4$$
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    Chapter 16 An Alternative Basis for the Kauffman Bracket Skein Module of the Solid Torus via Braids
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    Chapter 17 Knot Invariants in Lens Spaces
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    Chapter 18 Identity Theorem for Pro- p -groups
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    Chapter 19 A Survey on Knotoids, Braidoids and Their Applications
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    Chapter 20 Regulation of DNA Topology by Topoisomerases: Mathematics at the Molecular Level
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    Chapter 21 Topological Entanglement and Its Relation to Polymer Material Properties
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    Chapter 22 Topological Surgery in the Small and in the Large
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Title
Knots, Low-Dimensional Topology and Applications
Published by
Springer International Publishing, June 2019
DOI 10.1007/978-3-030-16031-9
ISBNs
978-3-03-016030-2, 978-3-03-016031-9
Editors

Adams, Colin C., Gordon, Cameron McA., Jones, Vaughan F.R., Kauffman, Louis H., Lambropoulou, Sofia, Millett, Kenneth C., Przytycki, Jozef H., Ricca, Renzo, Sazdanovic, Radmila

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