Document Type
Article
Publication Date
1-1-2007
Department
Mathematics
School
Mathematics and Natural Sciences
Abstract
We use recoupling theory to study the Kauffman bracket skein module of the quaternionic manifold over Z[A(+/- 1)] localized by inverting all the cyclotomic polynomials. We prove that the skein module is spanned by five elements. Using the quantum invariants of these skein elements and the Z(2)-homology of the manifold, we determine that they are linearly independent.
Publication Title
Journal of Knot Theory and Its Ramifications
Volume
16
Issue
1
First Page
103
Last Page
125
Recommended Citation
Gilmer, P. M.,
Harris, J. M.
(2007). On the Kauffman Bracket Skein Module of the Quaternionic Manifold. Journal of Knot Theory and Its Ramifications, 16(1), 103-125.
Available at: https://aquila.usm.edu/fac_pubs/2114
Comments
This is the peer reviewed version of the following article: "On the Kauffman Bracket Skein Module of the Quaternionic Manifold," which has been published in final form at 10.1142/S0218216507005208.