On the Kauffman bracket skein module of the quaternionic manifold

Details On the Kauffman bracket skein module of the quaternionic manifold On the Kauffman bracket skein module of the quaternionic manifold

2004-06-08

arxiv.org/abs/math/0406152v2

Mathematics

Geometric Topology

corrected summation signs in figures 14, 15, 17. Other minor changes

Scientific paper

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.

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