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 ...
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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 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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Add this copy of Quantum Invariants: a Study of Knot, 3-Manifolds, and to cart. $72.00, very good condition, Sold by Grey Matter Books rated 5.0 out of 5 stars, ships from Hadley, MA, UNITED STATES, published 2001 by World Scientific Pub Co Inc.
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Very Good in None Issued jacket. Text is unmarked; pages are bright. Binding is sturdy and square. Covers show just a little wear around the corners and at the head and base of the spine. No dust jacket, as issued.
Add this copy of Quantum Invariants: a Study of Knot, 3-Manifolds, and to cart. $198.70, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2001 by World Scientific Pub Co Inc.
