Some applications of Tristram-Levine signatures and relation to Vassiliev invariants
type: Item
instance of: scholarly article
title: Some applications of Tristram-Levine signatures and relation to Vassiliev invariants
zbMATH Open document ID: 1117.57015
author: Alexander Stoimenow
published in: Advances in Mathematics
publication date: 2005-06-30T00:00:00Z
review text: The signature invariants of Tristram and Levine [\textit{A. G. Tristram}, Proc. Camb. Philos. Soc. 66, 251--264 (1969; Zbl 0191.54703)] and [\textit{J. Levine}, Comment. Math. Helv. 44, 229--244 (1969; Zbl 0176.22101)] are shown to be independent of Vassiliev invariants of bounded degree, Alexander polynomial, and primeness of the knot. Results are also obtained relating these invariants to unknotting numbers.
reviewed by: Lee P. Neuwirth
Mathematics Subject Classification ID: 57M27
zbMATH DE Number: 2183835
zbMATH Keywords: signature
zbMATH Keywords: Vassiliev invariant
zbMATH Keywords: unknotting number
zbMATH Keywords: Alexander polynomial
MaRDI profile type: Publication
full work available at URL: j.aim.2004.07.003
OpenAlex ID: W1966120545
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DOI: 10.1016/J.AIM.2004.07.003
description: scientific article; zbMATH DE number 2183835