A Rational Noncommutative Invariant of Boundary Links
نویسنده
چکیده
We construct an invariant of boundary links which is at least as strong as the Kontsevich integral, determines the S-equivalence class of a boundary link and which takes values in a space of trivalent graphs whose edges are decorated by rational functions in noncommuting variables. Our invariant is axiomatically characterized by a universal property closely related to the Homology Surgery view of boundary links, and comes equipped with a diagrammatic integration theory, in the spirit of perturbative quantum field theory.
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تاریخ انتشار 2003