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Keywords:
automorphic set; Poisson Lie group; link invariants
automorphic set; Poisson Lie group; link invariants
Summary:
A new algebraic structure on the orbits of dressing transformations of the quasitriangular Poisson Lie groups is provided. This gives the topological interpretation of the link invariants associated with the Weinstein-Xu classical solutions of the quantum Yang-Baxter equation. Some applications to the three-dimensional topological quantum field theories are discussed.
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