期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2010
卷号：2010
DOI：10.1155/2010/573403
出版社：Hindawi Publishing Corporation
摘要：We study the algebraic and geometric structures for
closed orientable 3-manifolds obtained by Dehn surgery along the family of
hyperbolic links with certain surgery coefficients and
moreover, the geometric presentations of the fundamental group of these manifolds.
We prove that our surgery manifolds are 2-fold cyclic covering of 3-sphere
branched over certain link by applying the Montesinos theorem in Montesinos-Amilibia (1975).
In particular, our result includes the topological classification of the closed 3-manifolds
obtained by Dehn surgery on the Whitehead link, according to Mednykh and Vesnin (1998), and
the hyperbolic link 𝐿𝑑
