Graduation Year
2019
Date of Submission
5-2019
Document Type
Campus Only Senior Thesis
Degree Name
Bachelor of Arts
Department
Mathematics
Reader 1
Sam Nelson
Terms of Use & License Information
Abstract
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.
Recommended Citation
Pauletich, Evan, "Introducing Multi-Tribrackets: A Ternary Coloring Invariant" (2019). CMC Senior Theses. 2130.
https://scholarship.claremont.edu/cmc_theses/2130
This thesis is restricted to the Claremont Colleges current faculty, students, and staff.
