arXiv:math/0506393 Abstract

arXiv:math/0506393 [math.GT]Abstract References Reviews Resources

Quaternion Algebras and Invariants of Virtual Knots and Links I: The Elliptic Case

Published 2005-06-20, updated 2006-10-16Version 2

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.

Comments: 25 pages, 13 figures

Categories: math.GT, math.RA

Subjects: 57M25, 57M27

Keywords: virtual knots, quaternion algebras, elliptic case, braid groups, polynomial invariants

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