Bartholomew, Andrew and Fenn, Roger (2008) Quaternionic invariants of virtual knots and links. Journal of Knot Theory and Its Ramifications, 17 (2). pp. 231-251. ISSN 0218-2165

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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 2 x 2 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

Item Type:	Article
Keywords:	Virtual knots; knot invariant; biquandle; Yang–Baxter; quaternion Read More: http://www.worldscientific.com/doi/abs/10.1142/S021821650800604X
Schools and Departments:	School of Mathematical and Physical Sciences > Mathematics
Depositing User:	Roger Fenn
Date Deposited:	12 Feb 2013 10:24
Last Modified:	12 Feb 2013 10:24
URI:	http://sro.sussex.ac.uk/id/eprint/22081

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