Analysis of Length Spectra in the Complement of the Borromean Rings
Document Type
Student Presentation
Presentation Date
4-16-2018
College
College of Arts and Sciences
Department
Mathematics
Faculty Sponsor
Jens Harlander
Abstract
We study geodesics in the link complement B of the Borromean rings. Since B is covered by hyperbolic 3-space ℍ3 , the fundamental group of B is a discrete subgroup of the isometry group of ℍ3 , which is a matrix group. It follows that a geodesic gamma in B can be associated with a matrix M and the length of gamma can be computed using the trace of M. We use this technique to investigate the length spectrum of B and how it behaves under belt sum.
Recommended Citation
Neal, Kayla, "Analysis of Length Spectra in the Complement of the Borromean Rings" (2018). 2018 Undergraduate Research and Scholarship Conference. 107.
https://scholarworks.boisestate.edu/under_conf_2018/107
