Graduation Year
2020
Document Type
Campus Only Senior Thesis
Degree Name
Bachelor of Arts
Department
Mathematics
Reader 1
Sam Nelson
Reader 2
Christopher Towse
Abstract
In this paper, we introduce an enhancement of the quandle coloring quiver, which is an invariant of oriented knots and links. The opening chapters of this paper are dedicated to providing necessary background knowledge on knot theory before proceeding to the main result.
In the primary chapters, we enhance the quandle coloring quiver invariant of oriented knots and links with quandle modules. This results is a two-variable polynomial invariant which specializes to the previous quandle module polynomial invariant as well as to the quandle counting invariant. We provide example computations to show that the enhancement is proper in the sense that it distinguishes knots and links with the same quandle module polynomial.
Recommended Citation
Istanbouli, Karma, "Knot Theory: Quandle Module Quivers" (2020). Scripps Senior Theses. 1541.
https://scholarship.claremont.edu/scripps_theses/1541
This thesis is restricted to the Claremont Colleges current faculty, students, and staff.
