On the Kauffman bracket skein module of the quaternionic manifold
Geometric Topology
2015-12-22 v2 Quantum Algebra
Abstract
We use recoupling theory to study the Kauffman bracket skein module of the quaternionic manifold over Z[A,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.
Cite
@article{arxiv.math/0406152,
title = {On the Kauffman bracket skein module of the quaternionic manifold},
author = {Patrick M. Gilmer and John M. Harris},
journal= {arXiv preprint arXiv:math/0406152},
year = {2015}
}
Comments
corrected summation signs in figures 14, 15, 17. Other minor changes