Published February 28, 2001 | Version v1
Journal article Metadata-only

A formula for the generalized Sato-Levine invariant

Creators

  • 1. V.A. Steklov Mathematical Institute, Russian Academy of Sciences, Moscow (Russian Federation)
  • 2. Institute of Earth Magnetism, Ionosphere and Radio Wave Propagation, Russian Academy of Sciences, Troitsk, Moscow region (Russian Federation)
  • 3. University of Ljubljana (Slovenia)

Description

Let W be the generalized Sato-Levine invariant, that is, the unique Vassiliev invariant of order 3 for two-component links that is equal to zero on double torus links of type (1,k). It is proved that W-β-(k3-k)/6 where β is the invariant of order 3 proposed by Viro and Polyak in the form of representations of Gauss diagrams and k is the linking number

Availability note (English)

Available from http://dx.doi.org/10.1070/SM2001v192n01ABEH000533

Additional details

Identifiers

DOI
10.1070/SM2001v192n01ABEH000533;

Publishing Information

Journal Title
Sbornik. Mathematics
Journal Volume
192
Journal Issue
1
Journal Page Range
p. 1-10
ISSN
1064-5616

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
40073411
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ALGORITHMS; ANALYTIC FUNCTIONS; DIAGRAMS
Descriptors DEC
FUNCTIONS; INFORMATION; MATHEMATICAL LOGIC