Quaternionic Invariants of Virtual Knots and Links

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dc.creatorBartholomew, Andrew
dc.creatorFenn, Roger
dc.date2006-10-16
dc.date.accessioned2026-07-07T07:29:07Z
dc.date.available2026-07-07T07:29:07Z
dc.descriptionIn this paper we define and give examples of a family of polynomial invariants of virtual knots and links. They arise by considering certain 2$\times$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.
dc.description21 pages, 13 figures, accepted by JKTR
dc.identifierhttps://arxiv.org/abs/math/0610484
dc.identifierhttp://arxiv.org/abs/math/0610484
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117981
dc.subjectGeometric Topology
dc.subjectRings and Algebras
dc.subject57M25
dc.titleQuaternionic Invariants of Virtual Knots and Links
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