Affiliation:
1. School of Mathematical Sciences, University of Sussex, Falmer, Brighton, BN1 9RH, England
Abstract
In this paper, we define and give examples of a family of polynomial invariants of virtual knots and links. They arise by considering certain 2 × 2 matrices with entries in a possibly non-commutative ring, for example, the quaternions. These polynomials are sufficiently powerful to distinguish the Kishino knot from any classical knot, including the unknot.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
28 articles.
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