Volume 12 (2007)

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ISSN (electronic): 1464-8997
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Geometry, Heegaard splittings and rank of the fundamental group of hyperbolic 3–manifolds

Juan Souto

Geometry & Topology Monographs 12 (2007) 351–399

DOI: 10.2140/gtm.2007.12.351

arXiv: 0904.0237

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.

Keywords

hyperbolic geometry, Heegaard genus, fundamental group

Mathematical Subject Classification

Primary: 57M50

Secondary: 57M07

References
Publication

Received: 24 October 2006
Revised: 2 May 2007
Accepted: 26 June 2007
Published: 1 December 2007

Authors
Juan Souto
Department of Mathematics
University of Chicago
5734 S University Avenue
Chicago
Illinois 60637
USA
www.math.uchicago.edu/~juan