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HANDBOOK OF KNOT THEORY
William Menasco, Morwen Thistlethwaite
This book is a survey of current topics in the mathematical theory of knots. For a mathematician, a knot is a closed loop in 3-dimensional space: imagine knotting an extension cord and then closing it up by inserting its plug into its outlet. Knot theory is of central importance in pure and applied mathematics, as it stands at a crossroads of topology, combinatorics, algebra, mathematical physics and biochemistry.
Hyperbolic Knots - Colin Adams Braids: A Survey - Joan S. Birman and Tara E. Brendle Legendrian and Transversal Knots - John B. Etnyre Knot Spinning - Greg Friedman The Enumeration and Classification of Knots and Links - Jim Hoste Knot Diagrammatics - Louis H. Kauffman A Survey of Classical Knot Concordance - Charles Livingston Knot Theory of Complex Plane Curves - Lee Rudolph Thin Position in the Theory of Classical Knots - Martin Scharlemann Computation of Hyperbolic Structures in Knot Theory - Jeff Weeks