On Hyperbolic 3-Manifolds Obtained by Dehn Surgery on Links
Joint Authors
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-10-26
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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+1 of d+1 components in Cavicchioli and Paoluzzi (2000).
American Psychological Association (APA)
Kim, Soo Hwan& Kim, Yangkok. 2010. On Hyperbolic 3-Manifolds Obtained by Dehn Surgery on Links. International Journal of Mathematics and Mathematical Sciences،Vol. 2010, no. 2010, pp.1-8.
https://search.emarefa.net/detail/BIM-481864
Modern Language Association (MLA)
Kim, Soo Hwan& Kim, Yangkok. On Hyperbolic 3-Manifolds Obtained by Dehn Surgery on Links. International Journal of Mathematics and Mathematical Sciences No. 2010 (2010), pp.1-8.
https://search.emarefa.net/detail/BIM-481864
American Medical Association (AMA)
Kim, Soo Hwan& Kim, Yangkok. On Hyperbolic 3-Manifolds Obtained by Dehn Surgery on Links. International Journal of Mathematics and Mathematical Sciences. 2010. Vol. 2010, no. 2010, pp.1-8.
https://search.emarefa.net/detail/BIM-481864
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-481864