Affiliation:
1. Independent University of Moscow, 11 Bol. Vlassievskii per., 121002 Moscow, Russia
Abstract
We study the 4-bialgebra of graphs and the bialgebra of 4-invariants introduced by S. K. Lando. Our main goal is the investigation of the relationship between 4-invariants of graphs and weight systems arising in the theory of finite order invariants of knots. In particular, we show that the corank of the adjacency matrix of a graph leads to the weight system coming from the defining representation of the Lie algebra gl(N).
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
27 articles.
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