Geometry, Heegaard splittings and rank of the fundamental group of hyperbolic 3-manifolds

Juan Souto

doi:10.2140/gtm.2007.12.351

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arXiv · 0904.0237

Geometry, Heegaard splittings and rank of the fundamental group of hyperbolic 3-manifolds

Juan Souto

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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.

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Juan Souto. 2009-04-01. Geometry, Heegaard splittings and rank of the fundamental group of hyperbolic 3-manifolds. https://doi.org/10.2140/gtm.2007.12.351

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