Quantum Invariants is popular PDF and ePub book, written by Tomotada Ohtsuki in 2002, it is a fantastic choice for those who relish reading online the Invariants genre. Let's immerse ourselves in this engaging Invariants book by exploring the summary and details provided below. Remember, Quantum Invariants can be Read Online from any device for your convenience.
Quantum Invariants Book PDF Summary
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 ChernOCoSimons field theory and the WessOCoZuminoOCoWitten model are described as the physical background of the invariants. Contents: Knots and Polynomial Invariants; Braids and Representations of the Braid Groups; Operator Invariants of Tangles via Sliced Diagrams; Ribbon Hopf Algebras and Invariants of Links; Monodromy Representations of the Braid Groups Derived from the KnizhnikOCoZamolodchikov Equation; The Kontsevich Invariant; Vassiliev Invariants; Quantum Invariants of 3-Manifolds; Perturbative Invariants of Knots and 3-Manifolds; The LMO Invariant; Finite Type Invariants of Integral Homology 3-Spheres. Readership: Researchers, lecturers and graduate students in geometry, topology and mathematical physics."
Detail Book of Quantum Invariants PDF
- Author : Tomotada Ohtsuki
- Release : 20 September 2024
- Publisher : World Scientific
- ISBN : 9812811176
- Genre : Invariants
- Total Page : 516 pages
- Language : English
- PDF File Size : 8,6 Mb
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