Tribracket Modules

Deanna Needell; Sam Nelson; Yingqi Shi

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arxiv 1808.04421 v2 pith:DQT7O5YC submitted 2018-08-13 math.GT math.QA

Tribracket Modules

Deanna Needell , Sam Nelson , Yingqi Shi This is my paper

classification math.GT math.QA

keywords tribracketinvariantmodulesorientedanalogousbiquandlecoloringscomputation

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Niebrzydowski tribrackets are ternary operations on sets satisfying conditions obtained from the oriented Reidemeister moves such that the set of tribracket colorings of an oriented knot or link diagram is an invariant of oriented knots and links. We introduce tribracket modules analogous to quandle/biquandle/rack modules and use these structures to enhance the tribracket counting invariant. We provide examples to illustrate the computation of the invariant and show that the enhancement is proper.

Tribracket Modules

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