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APPLICATION OF BRAIDING SEQUENCES, I: ON THE CHARACTERIZATION OF VASSILIEV AND POLYNOMIAL LINK INVARIANTS

A. STOIMENOW

Department of Mathematics, Keimyung University, Darseo-Gu, Dalgubeoldaero 2800, Daegu 704-701, Korea

https://doi.org/10.1142/S0219199710003944Cited by:1 (Source: Crossref)

Abstract

We apply the concept of braiding sequences to extend the polynomial growth result for Vassiliev invariants to links, tangles and embedded graphs. It implies the non-existence of Vassiliev invariants that depend on any finite number of link polynomial coefficients, and allows to define two norms on the space of Vassiliev invariants. Then we show that (apart from well-known relations) the coefficients of the link polynomials are linearly independent.

Keywords:

AMSC: 57M25, 57M27, 05C10

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