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Jones-type invariants of tangles. (Russian. English summary) Zbl 0673.57005
In this note an invariant is defined for isotopy classes of oriented tangles (on many strings) in a manner similar to Kauffman’s “summing over states” approach to the Jones polynomial. This invariant is used to derive estimates for crossing numbers of tangle diagrams and to give a criterion for minimality of alternating tangle diagrams.
Reviewer: J.Hillman

MSC:
57M25 Knots and links in the \(3\)-sphere (MSC2010)
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