Complexity and Heegaard genus of an infinite class of compact 3-manifolds

Roberto Frigerio; Bruno Martelli; Carlo Petronio

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Complexity and Heegaard genus of an infinite class of compact 3-manifolds

Roberto Frigerio·Bruno Martelli·Carlo Petronio

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Abstract

Using the theory of hyperbolic manifolds with totally geodesic boundary, we provide for every integer n greater than 1 a class of such manifolds all having Matveev complexity equal to n and Heegaard genus equal to n+1. All the elements of this class have a single boundary component of genus n, and the numbers of distinct members of the class grows at least exponentially with n.

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BibTeX RIS

Roberto Frigerio, Bruno Martelli, Carlo Petronio. 2002-06-16. Complexity and Heegaard genus of an infinite class of compact 3-manifolds. https://arxiv.org/abs/math/0206156

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