Quantum Invariants: A Study Of Knots, 3-Manifolds, And Their Sets - Tomotada Ohtsuki
World Scientific Publishing Company (2001)
In Collection

Read It:

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.

Product Details
LoC Classification QC174.52.C66O35 2002
Dewey 530.143
Format Hardcover
Cover Price 98,00 €
No. of Pages 508
Height x Width 244 x 168 mm
Personal Details
Links Amazon