On the Skein Theory of 0-framed Surgery Along the Trefoil Knot

Identifier

etd-03292017-163241

Author

Andrew Robert Holmes, Louisiana State University and Agricultural and Mechanical CollegeFollow

Degree

Doctor of Philosophy (PhD)

Department

Mathematics

Document Type

Dissertation

Abstract

In this dissertation, we will give a generating set of the Kauffman bracket skein module over the field Q(A) of 0-framed surgery along the trefoil knot. This generating set is described as a certain subset of a known basis for the skein module over Z[A^±1] of the trefoil exterior.

Date

2017

Document Availability at the Time of Submission

Release the entire work immediately for access worldwide.

Recommended Citation

Holmes, Andrew Robert, "On the Skein Theory of 0-framed Surgery Along the Trefoil Knot" (2017). LSU Doctoral Dissertations. 4309.
https://repository.lsu.edu/gradschool_dissertations/4309

Committee Chair

Gilmer, Patrick M

DOI

10.31390/gradschool_dissertations.4309