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QUATERNIONIC INVARIANTS OF VIRTUAL KNOTS AND LINKS

QUATERNIONIC INVARIANTS OF VIRTUAL KNOTS AND LINKS

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 × 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 …