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3-manifold topology
A01=Vassily Olegovich Manturov
advanced knot theory applications
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Alexander Polynomial
Author_Vassily Olegovich Manturov
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Braid Diagrams
Braid Group
braid recognition algorithms
Briads
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Chord Diagram
Classical Crossings
Classical Knots
Classical Reidemeister Moves
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Generalised Reidemeister Moves
Heegaard-Floer
Homology
Invariant
Jones Kauffman Polynomial
Jones Polynomial
Kauffman Bracket
knot homology theory
Language_English
Legendrian knot theory
Link Diagram
Linking Coefficient
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Pure Braid Group
quantum topology
Reidemeister Moves
Singular Knots
Skein Relation
softlaunch
topological invariants
Toric Knots
Unknot Diagram
Vassiliev's Invariants
Vassiliev’s Invariants
Vassily Manturov
Virtual Crossing
Virtual Knot
Virtual Knot Diagram
Virtual Knots
Virtual Link Diagram
Virtual Links

Product details

  • ISBN 9781138561243
  • Weight: 1006g
  • Dimensions: 156 x 234mm
  • Publication Date: 29 Mar 2018
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
  • Language: English
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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.

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

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