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

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Terms of Use for work posted in Scholarship@Claremont.

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.

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