Knot theory with the Lorentz group

• Autorzy: João Faria Martins
• Języki publikacji: EN

Abstrakty

EN

We analyse perturbative expansions of the invariants defined from 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]]h-valued knot invariants related with the Melvin-Morton expansion of the Coloured Jones Polynomial.

Kategorie tematyczne

• 57M27: Invariants of knots and 3-manifolds
• 17B37: Quantum groups (quantized enveloping algebras) and related deformations
• 20G42: Quantum groups (quantized function algebras) and their representations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2005
• Tom: 188
• Numer: 1
• Strony: 59-93

Daty

wydano

2005

Twórcy

autor

João Faria Martins

• Departamento de Matemática, Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisboa, Portugal

Identyfikatory

DOI

10.4064/fm188-0-4