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The functoriality of Vassiliev-type invariants of links, braids, and knotted graphs. (English) Zbl 0841.57018

Summary: We define a category to express certain relationships among different kinds of embedding types of graphs in \(\mathbb{R}^3\), which include links and braids. We define Vassiliev-type invariants in terms of a functor to the category of abelian groups, and we give some applications of this point of view.

MSC:

57M25 Knots and links in the \(3\)-sphere (MSC2010)
57M15 Relations of low-dimensional topology with graph theory
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