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arxiv: math/9903057 · v1 · submitted 1999-03-10 · 🧮 math.GT · math.QA

On knot invariants which are not of finite type

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keywords invariantsfiniteexamplesfinite-typetypebasicclassescongruence
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We observe that most known results of the form "v is not a finite-type invariant" follow from two basic theorems. Among those invariants which are not of finite type, we discuss examples which are "ft-independent" and examples which are not. We introduce (n,q)-finite invariants, which are generalizations of finite-type invariants based on Fox's (n,q) congruence classes of knots.

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