In knot theory, diagrams of a given canonical genus can be described by means of a finite number of patterns ("generators"). Diagram Genus, Generators and Applications presents a self-contained account of the canonical genus: the genus of knot diagrams. The author explores recent research on the combinatorial theory of knots and supplies proofs for a number of theorems.
The book begins with an introduction to the origin of knot tables and the background details, including diagrams, surfaces, and invariants. It then derives a new description of generators...
In knot theory, diagrams of a given canonical genus can be described by means of a finite number of patterns ("generators"). Diagram Genus,...
This book studies diverse aspects of braid representations via knots and links. Further classifications of knots and links arising by the closure of 3-braids are given, and new results about 4-braids are part of the work.
This book studies diverse aspects of braid representations via knots and links. Further classifications of knots and links arising by the closure of 3...
