By R. Kashaev and Nikolai Reshetikhin

The notion of holonomy *R*-matrices is introduced. It is shown how to define invariants of tangles with flat connections in a principle *G*-bundle of the complement of a tangle using holonomy *R*-matrices.

February 20, 2002

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Invariants of tangles with flat connections in their complements.I. Invariants and holonomy R-matrices

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