Fundamental Group and Covering Properties of Hyperbolic Surgery Manifolds
Joint Authors
Telloni, Agnese Ilaria
Spaggiari, Fulvia
Cavicchioli, Alberto
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-30
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We study a family of closed connected orientable 3-manifolds obtained by Dehn surgeries with rational coefficients along the oriented components of certain links.
This family contains all the manifolds obtained by surgery along the (hyperbolic) 2-bridge knots.
We find geometric presentations for the fundamental group of such manifolds and represent them as branched covering spaces.
As a consequence, we prove that the surgery manifolds, arising from the hyperbolic 2-bridge knots, have Heegaard genus 2 and are 2-fold coverings of the 3-sphere branched over well-specified links.
American Psychological Association (APA)
Cavicchioli, Alberto& Spaggiari, Fulvia& Telloni, Agnese Ilaria. 2013. Fundamental Group and Covering Properties of Hyperbolic Surgery Manifolds. Geometry،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-475294
Modern Language Association (MLA)
Cavicchioli, Alberto…[et al.]. Fundamental Group and Covering Properties of Hyperbolic Surgery Manifolds. Geometry No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-475294
American Medical Association (AMA)
Cavicchioli, Alberto& Spaggiari, Fulvia& Telloni, Agnese Ilaria. Fundamental Group and Covering Properties of Hyperbolic Surgery Manifolds. Geometry. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-475294
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475294