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Quaternionic invariants of virtual knots and links

journal contribution
posted on 2023-06-07, 23:57 authored by Andrew Bartholomew, Roger Fenn
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

History

Publication status

  • Published

Journal

Journal of Knot Theory and Its Ramifications

ISSN

0218-2165

Publisher

World Scientific Publishing

Issue

2

Volume

17

Page range

231-251

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2013-02-12

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