AI 中文总结
本文构造特定闭哈肯3流形并研究其考夫曼括号纽结模的挠率行为，利用纽结共享手术性质计算双曲3流形族的该纽结模维数，还完成了相关SnapPy数据库纽结补手术的类似计算。
AI 中文摘要
对每一个大于0的整数g，我们构造了一个闭的哈肯3流形M_g，其唯一的连通不可压缩曲面是亏格为g的非分离曲面，并讨论了考夫曼括号纽结模§(M_g,ℤ[A^{±1}])的挠率行为。我们还利用纽结之间共享手术的性质，估计（且常能计算）由双扭结手术得到的双曲3流形族在ℚ(A)上的考夫曼括号纽结模的维数，对SnapPy数据库中含9个四面体以内三角剖分的带尖点双曲流形的若干纽结补的手术，我们也得到了类似计算结果。
英文摘要
For every $g>0$, we construct a closed Haken 3-manifold $M_g$, whose only connected, incompressible surface is a non-separating surface of genus $g$ and discuss the torsion behavior of the Kauffman bracket skein module $§(M_g,\Z[A^{\pm 1}])$. We also use properties of shared surgeries between knots to estimate (and often compute) the dimension of the Kauffman bracket skein module over $\Q(A)$, for families of hyperbolic 3-manifolds obtained by surgery on double twist knots. We have similar computations for some surgeries on several knot complements in the SnapPy census of cusped hyperbolic manifolds with triangulations up to 9 tetrahedra.
