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

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

2002-06-16

arxiv.org/abs/math/0206156v1

Pacific J. Math. 210 (2003), 283-297

Mathematics

Geometric Topology

15 pages, 7 figures

Scientific paper

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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