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arxiv: 1803.03210 · v2 · pith:YPUQ36L5new · submitted 2018-03-08 · 🧮 math.GT · math.QA

Virtual Tribrackets

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keywords virtualinvariantknotstribracketsalgebraiccertaincoloringcomplement
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We introduce virtual tribrackets, an algebraic structure for coloring regions in the planar complement of an oriented virtual knot or link diagram. We use these structures to define counting invariants of virtual knots and links and provide examples of the computation of the invariant; in particular we show that the invariant can distinguish certain virtual knots.

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