vix.ing · top · new · best · stats · spec

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

2010/01/13 by Micah Chrisman, Chrisman, Micah W.
Mathematics · #57M25 #57M27 #Advanced Algebra and Geometry #FOS: Mathematics #Geometric Topology (math.GT) #Mathematical Dynamics and Fractals #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1001.2247

openalex publication_date 2010/01/13 · openalex created_date 2025/10/27 · openalex updated_date 2026/07/28

Abstract

In this paper, it is shown that there are no nonconstant\nGoussarov-Polyak-Viro finite-type invariants that are invariant under the\nvirtualization move. As an immediate corollary, we obtain the theorem which\nstates none of the Birman coefficients of the Jones-Kauffman polynomial are of\nGPV finite type.\n

Related