On the Goussarov-Polyak-Viro Finite-Type Invariants and the Virtualization Move

Details On the Goussarov-Polyak-Viro Finite-Type Invariants and the Virtualization Move On the Goussarov-Polyak-Viro Finite-Type Invariants and the Virtualization Move

2010-01-13

arxiv.org/abs/1001.2247v1

Mathematics

Geometric Topology

Scientific paper

In this paper, it is shown that there are no nonconstant
Goussarov-Polyak-Viro finite-type invariants that are invariant under the
virtualization move. As an immediate corollary, we obtain the theorem which
states none of the Birman coefficients of the Jones-Kauffman polynomial are of
GPV finite type.

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