A universal bound for surfaces in 3-manifolds with a given Heegaard genus
Mario Eudave-Munoz, Jeremy Shor
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 b1 < b.
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