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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 algebra. It suffices to mention the great progress in knot homology theory (Khovanov homology and Ozsvath-Szabo Heegaard-Floer homology),...

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Bibliographic Details
Main Author: Manturov, Vassily (Author)
Corporate Author: Taylor & Francis
Other Authors: Nikonov, Igor Mikhailovich (Editor)
Format: eBook
Language:English
Published: Boca Raton, FL : CRC Press, 2018.
Edition:Second edition.
Subjects:
General Physics
Geometry
Mathematical Physics
MATHnetBASE
SCI-TECHnetBASE
STMnetBASE
Electronic books.
Online Access:Connect to the full text of this electronic book

MARC

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505 0 0 |t part, I Knots, links, and invariant polynomials --   |t chapter 1 Introduction /  |r  Vassily Manturov --   |t chapter 2 Reidemeister moves. Knot arithmetics /  |r  Vassily Manturov --   |t chapter 3 Links in 2-surfaces in ℝ3. Simplest link invariants /  |r  Vassily Manturov --   |t chapter 4 Fundamental group. The knot group /  |r  Vassily Manturov --   |t chapter 5 The knot quandle and the Conway algebra /  |r  Vassily Manturov --   |t chapter 6 Kauffman's approach to Jones polynomial /  |r  Vassily Manturov --   |t chapter 7 Properties of Jones polynomials. Khovanov's complex /  |r  Vassily Manturov --   |t chapter 8 Lee-Rasmussen invariant, slice knots, and the genus conjecture /  |r  Vassily Manturov --   |t part, II Theory of braids --   |t chapter 9 Braids, links and representations of braid groups /  |r  Vassily Manturov --   |t chapter 10 Braids and links. Braid construction algorithms /  |r  Vassily Manturov --   |t chapter 11 Algorithms of braid recognition /  |r  Vassily Manturov --   |t chapter 12 Markov's theorem. The Yang-Baxter equation /  |r  Vassily Manturov --   |t part, III Vassiliev's invariants. Atoms and d-diagrams --   |t chapter 13 Definitions and basic notions of Vassiliev invariant theory /  |r  Vassily Manturov --   |t chapter 14 The chord diagram algebra /  |r  Vassily Manturov --   |t chapter 15 The Kontsevich integral and formulae for the Vassiliev invariants /  |r  Vassily Manturov --   |t chapter 16 Atoms, height atoms and knots /  |r  Vassily Manturov --   |t part, IV Virtual knots --   |t chapter 17 Virtual knots. Basic definitions and motivation /  |r  Vassily Manturov --   |t chapter 18 Invariant polynomials of virtual links /  |r  Vassily Manturov --   |t chapter 19 Generalised Jones-Kauffman polynomial /  |r  Vassily Manturov --   |t chapter 20 Long virtual knots and their invariants /  |r  Vassily Manturov --   |t chapter 21 Virtual braids /  |r  Vassily Manturov --   |t chapter 22 Khovanov homology of virtual knots /  |r  Vassily Manturov --   |t part, V Knots, 3-manifolds, and Legendrian knots --   |t chapter 23 3-Manifolds and knots in 3-manifolds /  |r  Vassily Manturov --   |t chapter 24 Heegaard-Floer homology /  |r  Vassily Manturov --   |t chapter 25 Legendrian knots and their invariants /  |r  Vassily Manturov. 
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