Knot theory with the Lorentz group
Fundamenta Mathematicae (2005)
- Volume: 188, Issue: 1, page 59-93
- ISSN: 0016-2736
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topJoão Faria Martins. "Knot theory with the Lorentz group." Fundamenta Mathematicae 188.1 (2005): 59-93. <http://eudml.org/doc/283177>.
@article{JoãoFariaMartins2005,
abstract = {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.},
author = {João Faria Martins},
journal = {Fundamenta Mathematicae},
keywords = {Kontsevich integral; coloured Jones polynomial; quantum Lorentz group},
language = {eng},
number = {1},
pages = {59-93},
title = {Knot theory with the Lorentz group},
url = {http://eudml.org/doc/283177},
volume = {188},
year = {2005},
}
TY - JOUR
AU - João Faria Martins
TI - Knot theory with the Lorentz group
JO - Fundamenta Mathematicae
PY - 2005
VL - 188
IS - 1
SP - 59
EP - 93
AB - 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.
LA - eng
KW - Kontsevich integral; coloured Jones polynomial; quantum Lorentz group
UR - http://eudml.org/doc/283177
ER -
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