Date of Submission
Campus Only Senior Thesis
Bachelor of Arts
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 , . 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.
Pauletich, Evan, "Introducing Multi-Tribrackets: A Ternary Coloring Invariant" (2019). CMC Senior Theses. 2130.
This thesis is restricted to the Claremont Colleges current faculty, students, and staff.