On the Kauffman bracket skein module of the quaternionic manifold

被引：9

作者：

Gilmer, Patrick M. ^{[1
]}

Harris, John M.

机构：

[1] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA

[2] Univ So Mississippi, Long Beach, MS USA

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2007年 / 16卷 / 01期

关键词：

recoupling; framed link; quantum invariant; Heegaard splitting;

D O I：

10.1142/S0218216507005208

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：103 / 125

页数：23

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