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On the Kauffman bracket skein module of the quaternionic manifold

Patrick M. Gilmer·John M. Harris
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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.

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Patrick M. Gilmer, John M. Harris. 2004-12-14. On the Kauffman bracket skein module of the quaternionic manifold. https://doi.org/10.1142/s0218216507005208

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