Introducing Multi-Tribrackets: A Ternary Coloring Invariant
We begin by introducing knots and links generally and identifying various geometric, polynomial, and integer-based knot and link invariants. Of particular importance to this paper are ternary operations and Niebrzydowski tribrackets defined in [12], [10]. We then introduce multi-tribrackets, ternary...
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| Format: | Others |
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Scholarship @ Claremont
2019
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| Online Access: | https://scholarship.claremont.edu/cmc_theses/2130 https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=3317&context=cmc_theses |
| Summary: | We begin by introducing knots and links generally and identifying various geometric, polynomial, and integer-based knot and link invariants. Of particular importance to this paper are ternary operations and Niebrzydowski tribrackets defined in [12], [10]. We then introduce multi-tribrackets, ternary algebraic structures following the specified region coloring rules with di↵erent operations at multi-component and single component crossings. We will explore examples of each of the invariants and conclude with remarks on the direction of the introduced multi-tribracket theory. |
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