Book:Colin C. Adams/The Knot Book

Subject Matter

 * Knot Theory

Contents
Chapter 5 Invariants of Knots 57 3.1 Unknotting Number 57 3.2 Bridge Number 64 3.3 Crossing Number 67 Chapter 4 Surfaces and Knots 71 4.1 Surfaces without Boundary 71 4.2 Surfaces with Boundary 87 4.3 Genus and Seifert Surfaces 95 Chapter 5 Types of Knots 107 5.1 Torus Knots 107 5.2 Satellite Knots 115 5.3 Hyperbolic Knots 119 5.4 Braids 127 5.5 Almost Alternating Knots 139 Chapter 6 Polynomials 147 6.1 The Bracket Polynomial and the Jones Polynomial 6.2 Polynomials of Alternating Knots 156 6.3 The Alexander and HOMFLY Polynomials 165 6.4 Amphicheirality 176 Chapter 7 Biology, Chemistry, and Physics 181 7.1 DNA 181 7.2 Synthesis of Knotted Molecules 7.3 Chirality of Molecules 201 7.4 Statistical Mechanics and Knots 205