Complexity and Heegaard genus of an infinite class of compact 3-manifolds
Geometric Topology
2016-09-07 v1
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.
Keywords
Cite
@article{arxiv.math/0206156,
title = {Complexity and Heegaard genus of an infinite class of compact 3-manifolds},
author = {Roberto Frigerio and Bruno Martelli and Carlo Petronio},
journal= {arXiv preprint arXiv:math/0206156},
year = {2016}
}
Comments
15 pages, 7 figures