Year: 2003
Type: preprint
Abstract: We analyse the perturbative expansion of the knot invariants defined from the unitary representations of the Quantum Lorentz Group in two different ways, namely using the Kontsevich Integral and weight systems, and the $R$-matrix in the Quantum Lorentz Group defined by Buffenoir and Roche. The two formulations are proved to be equivalent; and they both yield $C[[h]]$-valued knot invariants related with the Melvin Morton expansion of the Coloured Jones Polynomial.
Source: arXiv (Cornell University)
Author: Martins, Joao Faria
Institution: Instituto Superior Técnico
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2952996736