Microscopic description of 2D topological phases, duality, and 3D state sums.
Kádár, Zoltán, Marzuoli, Annalisa, Rasetti, Mario (2010)
Advances in Mathematical Physics
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Displaying similar documents to “Spin networks and the bracket polynomial”
Microscopic description of 2D topological phases, duality, and 3D state sums.
Refined quantum invariants for three-manifolds with structure
Christian Blanchet (1998)
Banach Center Publications
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A gauge-field approach to 3- and 4-manifold invariants
Bogusław Broda (1997)
Banach Center Publications
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An approach to construction of topological invariants of the Reshetikhin-Turaev-Witten type of 3- and 4-dimensional manifolds in the framework of SU(2) Chern-Simons gauge theory and its hidden (quantum) gauge symmetry is presented.
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Mikovíc, Aleksandar (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Dynamics of entanglement between a quantum dot spin qubit and a photon qubit inside a semiconductor high-Q nanocavity.
Seigneur, Hubert Pascal, Gonzalez, Gabriel, Leuenberger, Michael Niklaus, Schoenfeld, Winston Vaughan (2010)
Advances in Mathematical Physics
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The Jones-Witten invariants of knots
Michael Atiyah (1989-1990)
Séminaire Bourbaki
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Knot theory with the Lorentz group
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.
Combinatorics and topology - François Jaeger's work in knot theory
Louis H. Kauffman (1999)
Annales de l'institut Fourier
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François Jaeger found a number of beautiful connections between combinatorics and the topology of knots and links, culminating in an intricate relationship between link invariants and the Bose-Mesner algebra of an association scheme. This paper gives an introduction to this connection.
Skein theory for -quantum invariants.
Sikora, Adam S. (2005)
Algebraic & Geometric Topology
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Invariants of 3-manifolds via link polynomials and quantum groups.
N. Reshetikhin, V.G. Turaev (1991)
Inventiones mathematicae
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Infinitely many two-variable generalisations of the Alexander-Conway polynomial.
De Wit, David, Ishii, Atsushi, Links, Jon (2005)
Algebraic & Geometric Topology
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