Date of Submission
Campus Only Senior Thesis
Bachelor of Arts
© 2017 Yuqi Zhao
This paper focuses on generalizing unoriented handlebody-links to the twisted virtual case, obtaining Reidemeister moves for handlebody-links in ambient spaces. The paper introduces a related algebraic structure known as twisted virtual bikeigebras whose axioms are motivated by the twisted virtual handlebody-link Reidemeister moves. In the research, twisted virtual bikeigebras are used to dene X-colorability for twisted virtual handlebody-links and define an integer-valued invariant of twisted virtual handlebody-links. The paper also includes example computations of the new invariants and use them to distinguish some twisted virtual handlebody-links.
Zhao, Yuqi, "Twisted Virtual Bikeigebras and Twisted Virtual Handlebody-Knots" (2018). CMC Senior Theses. 1774.
This thesis is restricted to the Claremont Colleges current faculty, students, and staff.