On knot invariants which are not of finite type

Theodore Stanford; Rolland Trapp

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On knot invariants which are not of finite type

Theodore Stanford·Rolland Trapp

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Abstract

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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Theodore Stanford, Rolland Trapp. 1999-03-10. On knot invariants which are not of finite type. https://arxiv.org/abs/math/9903057

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