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Chern-Simons theory, coloured-oriented braids and link invariants - MaRDI portal

Chern-Simons theory, coloured-oriented braids and link invariants (Q1328201)

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Chern-Simons theory, coloured-oriented braids and link invariants
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    Chern-Simons theory, coloured-oriented braids and link invariants (English)
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    4 July 1994
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    A method to obtain explicit and complete topological solution to \(\text{SU} (2)\) Chern-Simons theory on \(S^3\) is developed. A large class of representations of the generators of the groupoid of coloured-oriented braids are obtained. They provide new link invariants generalizing the Jones polynomial. These new invariants are explicitly calculated as illustrations for knots up to 8 crossings and two-component multicoloured links up to 7 crossings.
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    duality matrices
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    \(\text{SU} (2)\) Chern-Simons theory
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    groupoid of coloured-oriented braids
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    link invariants
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    multicoloured links
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