A lower bound for the number of Vassiliev knot invariants
type: Item
instance of: scholarly article
title: A lower bound for the number of Vassiliev knot invariants
zbMATH Open document ID: 0934.57006
DOI: 10.1016/S0166-8641(97)00249-6
published in: Topology and its Applications
publication date: 2000-04-25T00:00:00Z
review text: It is shown that the dimension of the vector space of primitive Vassiliev knot invariants of degree \(d\) grows at least as \(d^{\log d}\), and in particular faster than any polynomial in \(d\). A short introduction to the history of such upper and lower bounds is given in the introduction of the paper [\textit{A. Stoimenov}, J. Knot Theory Ramifications 8, No.~6, 799-813 (1999; Zbl 0934.57007), see also the next review], recent improvements of the above lower bound are reported on in the Notes added in proof of the present paper.
Mathematics Subject Classification ID: 57M25
zbMATH DE Number: 1307871
author: S. Chmutov
author: S. V. Duzhin
reviewed by: Bruno Zimmermann
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1307871