Geometry & Topology Monographs 12 (2007) 351–399

DOI: 10.2140/gtm.2007.12.351

arXiv: 0904.0237

Abstract

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