Campus Only Senior Thesis
© 2014 Sherilyn Tamagawa
Knot theory is an important branch of mathematics with applications in other branches of science. In this paper, we explore invariants on a special class of knots, known as virtual knots. We find new invariants by taking quotients of quandles, and introducing the fundamental Latin Alexander quandle and its Grobner basis. We also demonstrate examples of computations of these invariants.
Tamagawa, Sherilyn K., "Quandles of Virtual Knots" (2014). Scripps Senior Theses. 358.
This thesis is restricted to the Claremont Colleges current faculty, students, and staff. It is not available for interlibrary loan. Please send a request for access through Contact Us.