A universal bound for surfaces in 3-manifolds with a given Heegaard genus

Details A universal bound for surfaces in 3-manifolds with a given Heegaard genus A universal bound for surfaces in 3-manifolds with a given Heegaard genus

2000-08-21

arxiv.org/abs/math/0008158v2

Algebraic and Geometric Topology 1 (2001) 31-37

Mathematics

Geometric Topology

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol1/agt-1-2.abs.html

Scientific paper

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.

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