Researcher ORCID Identifier

https://orcid.org/0000-0001-9991-4977

Graduation Year

2021

Document Type

Campus Only Senior Thesis

Degree Name

Bachelor of Arts

Department

Mathematics

Reader 1

Sam Nelson

Reader 2

Winston Ou

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

Abstract

We will define two types of quandle polynomials known as the G-family polynomial and the associated quandle polynomial. We will define image subquandle enhancements for these two types of quandle polynomials and apply them to examples of trivalent spatial graphs and handlebody knots. Examples are used to show that the enhancements are indeed stronger invariants.

This thesis is restricted to the Claremont Colleges current faculty, students, and staff.

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