Quaternionic Invariants of Virtual Knots and Links
Geometric Topology
2007-05-23 v1 Rings and Algebras
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 22 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.
Cite
@article{arxiv.math/0610484,
title = {Quaternionic Invariants of Virtual Knots and Links},
author = {Andrew Bartholomew and Roger Fenn},
journal= {arXiv preprint arXiv:math/0610484},
year = {2007}
}
Comments
21 pages, 13 figures, accepted by JKTR