On knot invariants which are not of finite type

Details On knot invariants which are not of finite type On knot invariants which are not of finite type

1999-03-10

arxiv.org/abs/math/9903057v1

Mathematics

Geometric Topology

6 pages, no figures

Scientific paper

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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