This book introduces the study of knots, providing insights into recent applications in DNA research and graph theory. It sets forth fundamental facts such as k

Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to thi

The present volume grew out of the Heidelberg Knot Theory Semester, organized by the editors in winter 2008/09 at Heidelberg University. The contributed papers

More recently, Khovanov introduced link homology as a generalization of the Jones polynomial to homology of chain complexes and Ozsvath and Szabo developed Heeg

A selection of topics which graduate students have found to be a successful introduction to the field, employing three distinct techniques: geometric topology m