Graduation Year
2006
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Science
Department
Mathematics
Reader 1
Jim Hoste
Reader 2
Francis Edward Su
Abstract
In the 1960s French mathematician George de Rham found a relationship between two invariants of knots. He found that there exist representations of the fundamental group of a knot into a group G of upper right triangular matrices in C with determinant one that is described exactly by the roots of the Alexander polynomial. I extended this result to find that the representations of the fundamental group of a link into G are described by the multivariable Alexander polynomial of the link.
Recommended Citation
May, Jessica, "Matrix Representation of Knot and Link Groups" (2006). HMC Senior Theses. 185.
https://scholarship.claremont.edu/hmc_theses/185
Picture of Jessica May
jmay-2006-prop.pdf (29 kB)
Thesis Proposal
Jess-May-Thesis-Poster.ppt (201 kB)
Poster
