Quaternion Algebras and Invariants of Virtual Knots and Links I: The Elliptic Case
arXiv:math/0506393
Abstract
In this paper we show how generalized quaternions, including 2X2 matrices, can be used to find solutions of a non-commuting equation intimately connected with braid groups. These solutions can then be used to find polynomial invariants of virtual knots and links.
arXiv comment25 pages, 13 figures