Cyclic Branched Coverings Over Some Classes of (1, 1)-Knots. (16th May 2013)

• Record Type: Journal Article
• Authors: Telloni, Agnese Ilaria
• Other Names: Planat Michel Academic Editor.
• Is Part Of: Geometry. Volume 2013(2013)
• Publication Date: 2013-05-16
• Subjects: Geometry -- Periodicals; Geometry; Periodicals; 516
• DOI: 10.1155/2013/549198
• Languages: English
• ISSNs: 2314-422X

Abstract

Abstract : We construct a 4-parametric family of combinatorial closed 3-manifolds, obtained by glueing together in pairs the boundary faces of polyhedral 3-balls. Then, we obtain geometric presentations of the fundamental groups of these manifolds and determine the corresponding split extension groups. Finally, we prove that the considered manifolds are cyclic coverings of the 3-sphere branched over well-specified ( 1, 1 ) -knots, including torus knots and Montesinos knots.