Knot Theory Second Edition

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.

About the author

Vassily Olegovich Manturov is professor of Geometry and Topology at Bauman Moscow State Technical University.

Summary

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 invariant

Product details

• Authors: Vassily Olegovich Manturov, Vassily Manturov, Vassily Olegovich (Moscow State Universi Manturov, Manturov Vassily Olegovich
• Publisher: Taylor & Francis Ltd.
• Content: Book
• Product form: Paperback / Softback
• Publication date: 30.09.2020
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Geometry
• EAN: 9780367657291
• ISBN: 978-0-367-65729-1
• Pages: 560
• Subjects: MATHEMATICS / General, SCIENCE / Physics / General, SCIENCE / Physics / Mathematical & Computational, MATHEMATICS / Geometry / General, geometry, Mathematical physics, topological invariants, Jones polynomial, braid group, Alexander polynomial, Mathematical / Computational / Theoretical physics, Legendrian knot theory, 3-manifold topology, quantum topology, advanced knot theory applications, braid recognition algorithms, knot homology theory, Link Diagram, Virtual Crossing, Skein Relation, Classical Crossings, Chord Diagram, Kauffman Bracket, Braid Diagrams, Singular Knots, Classical Reidemeister Moves, Virtual Links, Generalised Reidemeister Moves, Unknot Diagram, Virtual Knot Diagram, Linking coefficient, Vassiliev’s Invariants, Jones Kauffman Polynomial, Toric Knots, Classical Knots