QUATERNION ALGEBRAS and INVARIANTS of VIRTUAL KNOTS and LINKS II: The Hyperbolic Case

نویسندگان

  • STEPHEN BUDDEN
  • ROGER FENN
چکیده

called the fundamental equation is satisfied. Then an invariant R-module is defined for any diagram of a (virtual) knot or link. Solutions in the classic quaternion case have been found by Bartholomew, Budden and Fenn. Solutions in the generalised quaternion case have been found by Fenn in an earlier paper. These latter solutions are only partial in the case of 2×2 matrices and the aim of this paper is to provide solutions to the missing cases.

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تاریخ انتشار 2006