A universal bound for surfaces in 3-manifolds with a given Heegaard genus
Geometric Topology
2014-10-01 v2
Abstract
It is shown that for given positive integers g and b, there is a number C(g,b), such that any orientable compact irreducible 3-manifold of Heegaard genus g has at most C(g,b) disjoint, nonparallel incompressible surfaces with first Betti number b_1 < b.
Cite
@article{arxiv.math/0008158,
title = {A universal bound for surfaces in 3-manifolds with a given Heegaard genus},
author = {Mario Eudave-Munoz and Jeremy Shor},
journal= {arXiv preprint arXiv:math/0008158},
year = {2014}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol1/agt-1-2.abs.html