ABSTRACT
Over the last fifteen years, the face of knot theory has changed due to various new theories and invariants coming from physics, topology, combinatorics and alge-bra. It suffices to mention the great progress in knot homology theory (Khovanov homology and Ozsvath-Szabo Heegaard-Floer homology), the A-polynomial which give rise to strong invariants of knots and 3-manifolds, in particular, many new unknot detectors. New to this Edition is a discussion of Heegaard-Floer homology theory and A-polynomial of classical links, as well as updates throughout the text.
Knot Theory, Second Edition is notable not only for its expert presentation of knot theory’s state of the art but also for its accessibility. It is valuable as a profes-sional reference and will serve equally well as a text for a course on knot theory.
TABLE OF CONTENTS
part I|129 pages
Knots, links, and invariant polynomials
part II|92 pages
Theory of braids
part III|78 pages
Vassiliev’s invariants. Atoms and d-diagrams
part IV|142 pages
Virtual knots
part V|54 pages
Knots, 3-manifolds, and Legendrian knots