Carte Quantum Invariants: A Study Of Knots, 3-manifolds, And Their Sets Tomotada Ohtsuki

Quantum Invariants: A Study Of Knots, 3-manifolds, And Their Sets

Limbă: engleză
Legare: Copertă tare
Disponibilitate: În depozitul extern
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An extensive and self-contained presentation of quantum and related invariants of knots and 3-manifo...

Informații despre carte

Limbă
engleză
Legare
Carte - Copertă tare
Publicat
2001
Pagini
508
EAN
9789810246754
ISBN
9810246757
Enbook ID
05066885
Greutate
1012
Dimensiuni
181 x 230 x 31

Descriere completă

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, in other words, 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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