Skein theory for -quantum invariants.
Sikora, Adam S. (2005)
Algebraic & Geometric Topology
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Sikora, Adam S. (2005)
Algebraic & Geometric Topology
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Michael Atiyah (1989-1990)
Séminaire Bourbaki
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Tu Quoc Thang Le, Jun Murakami (1996)
Compositio Mathematica
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Bobtcheva, Ivelina, Messia, Maria Grazia (2003)
Algebraic & Geometric Topology
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Geer, Nathan (2005)
Algebraic & Geometric Topology
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João Faria Martins (2005)
Fundamenta Mathematicae
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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.
Polyak, Michael (2005)
Algebraic & Geometric Topology
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Józef Przytycki (1995)
Banach Center Publications
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We describe in this talk three methods of constructing different links with the same Jones type invariant. All three can be thought as generalizations of mutation. The first combines the satellite construction with mutation. The second uses the notion of rotant, taken from the graph theory, the third, invented by Jones, transplants into knot theory the idea of the Yang-Baxter equation with the spectral parameter (idea employed by Baxter in the theory of solvable models in statistical...
Dabkowski, Mieczysław K., Przytycki, Józef H. (2002)
Geometry & Topology
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Dunfield, Nathan M., Garoufalidis, Stavros (2004)
Algebraic & Geometric Topology
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Lieberum, Jens (2002)
International Journal of Mathematics and Mathematical Sciences
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