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

Roger Fenn
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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.

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BibTeXRIS

Roger Fenn. 2006-10-16. Quaternion Algebras and Invariants of Virtual Knots and Links I: The Elliptic Case. https://arxiv.org/abs/math/0506393

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