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Volume 18, 2012 |
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Geometry, Heegaard splittings and rank of the fundamental
group of hyperbolic 3–manifolds
Juan Souto
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Geometry & Topology Monographs 12
(2007) 351–399
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Abstract
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In this survey we discuss how geometric methods can be used to study topological
properties of 3–manifolds such as their Heegaard genus or the rank of their
fundamental group. On the other hand, we also discuss briefly some results
relating combinatorial descriptions and geometric properties of hyperbolic
3–manifolds.
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Keywords
hyperbolic geometry, Heegaard genus,
fundamental group
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Mathematical Subject Classification
Primary: 57M50
Secondary: 57M07
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Publication
Received: 24 October 2006
Revised: 2 May 2007
Accepted: 26 June 2007
Published: 1 December 2007
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