Date of Award
2013
Document Type
Thesis
Degree Name
Master of Arts in Mathematics
Department
Mathematics
First Advisor
Trapp, Rolland
Second Advisor
Hasan, Zahid
Third Advisor
Sari, John
Abstract
This study analyzes Carlo Petronio's paper, An Algorithm Producing Hyperbolicity Equations for a Link Complement in S³. Using the figure eight knot as an example, we will explain how Petronio's algorithm was able to decompose the knot complement of an alternating knot into tetrahedra. Then, using the vertex invariants of these tetrahedra, we will explain how Petronio was able to create hyperbolicity equations.
Recommended Citation
Jacinto, Christopher Martin, "Hyperbolicity equations for knot complements" (2013). Theses Digitization Project. 4414.
https://scholarworks.lib.csusb.edu/etd-project/4414
