Knot Theory : Second Edition
Knot Theory : Second Edition
by Vassily Manturov
English | 2018 | ISBN: 113856124X | 581 Pages | PDF | 6.52 MB
by Vassily Manturov
English | 2018 | ISBN: 113856124X | 581 Pages | PDF | 6.52 MB
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 algebra. 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.
"This book is highly recommended for all students and researchers in knot theory, and to those in the sciences and mathematics who would like to get a flavor of this very active field."-Professor Louis H. Kauffman, Department of Mathematics, Statistics and Com-puter Science, University of Illinois at Chicago