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

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

2005-06-20

arxiv.org/abs/math/0506393v2

Mathematics

Geometric Topology

25 pages, 13 figures

Scientific paper

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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