The Kauffman bracket skein module of a twist knot exterior.
Bullock, Doug, Lo Faro, Walter (2005)
Algebraic & Geometric Topology
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Bullock, Doug, Lo Faro, Walter (2005)
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Kirk, P., Livingston, C. (2001)
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Friedl, Stefan (2004)
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Livingston, Charles (2002)
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Garoufalidis, Stavros, Levine, Jerome (2001)
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Livingston, Charles (2004)
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Stephen Budden, Roger Fenn (2004)
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Let A, B be invertible, non-commuting elements of a ring R. Suppose that A-1 is also invertible and that the equation [B,(A-1)(A,B)] = 0 called the fundamental equation is satisfied. Then this defines a representation of the algebra ℱ = A, B | [B,(A-1)(A,B)] = 0. An invariant R-module can then be defined for any diagram of a (virtual) knot or link. This halves the number of previously known relations and allows us to give a complete solution in the case when R is the quaternions. ...
Livingston, Charles (2001)
Algebraic & Geometric Topology
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Livingston, Charles (2003)
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Plamenevskaya, Olga (2004)
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