Quantum Invariants

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  • Quantum Invariants Book Detail

  • Author : Tomotada Ohtsuki
  • Release Date : 2002
  • Publisher : World Scientific
  • Genre : Science
  • Pages : 508
  • ISBN 13 : 9810246757
  • File Size : 88,88 MB

Quantum Invariants by Tomotada Ohtsuki PDF Summary

Book Description: This book provides an extensive and self-contained presentation of quantum and related invariants of knots and 3-manifolds. Polynomial invariants of knots, such as the Jones and Alexander polynomials, are constructed as quantum invariants, i.e. invariants derived from representations of quantum groups and from the monodromy of solutions to the Knizhnik-Zamolodchikov equation. With the introduction of the Kontsevich invariant and the theory of Vassiliev invariants, the quantum invariants become well-organized. Quantum and perturbative invariants, the LMO invariant, and finite type invariants of 3-manifolds are discussed. The Chern-Simons field theory and the Wess-Zumino-Witten model are described as the physical background of the invariants.

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Quantum Invariants

Quantum Invariants

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This book provides an extensive and self-contained presentation of quantum and related invariants of knots and 3-manifolds. Polynomial invariants of knots, such

Quantum Invariants

Quantum Invariants

File Size : 97,97 MB
Total View : 7521 Views
DOWNLOAD

This book provides an extensive and self-contained presentation of quantum and related invariants of knots and 3-manifolds. Polynomial invariants of knots, such

Quantum Invariants of Knots and 3-Manifolds

Quantum Invariants of Knots and 3-Manifolds

File Size : 42,42 MB
Total View : 4046 Views
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Due to the strong appeal and wide use of this monograph, it is now available in its third revised edition. The monograph gives a systematic treatment of 3-dimen

Quantum Invariants of Knots and 3-Manifolds

Quantum Invariants of Knots and 3-Manifolds

File Size : 33,33 MB
Total View : 9872 Views
DOWNLOAD

Due to the strong appeal and wide use of this monograph, it is now available in its third revised edition. The monograph gives a systematic treatment of 3-dimen