Graduation Year
2017
Date of Submission
4-2017
Document Type
Campus Only Senior Thesis
Degree Name
Bachelor of Arts
Department
Mathematical Sciences
Reader 1
Sam Nelson
Terms of Use & License Information
Rights Information
© 2017 Julien E Chien
Abstract
This paper begins with a basic overview of the key concepts of classical and virtual knot theory. After introductions to concepts such as knot diagrams, Reidemeister moves, and virtual links, the paper discusses the bikei algebraic structure and the fundamental bikei. The paper describes an algorithm that converts fundamental bikei presentations to matrix representations, and then completes the resulting matrices. These completed matrices can return the value of two link invariants.
Recommended Citation
Chien, Julien, "Virtual Links with Finite Medial Bikei" (2017). CMC Senior Theses. 1583.
https://scholarship.claremont.edu/cmc_theses/1583
This thesis is restricted to the Claremont Colleges current faculty, students, and staff.
