Geodesic
A universal bound for surfaces in 3-manifolds with a given Heegaard genus
Eudave-Munoz, Mario1 ; Shor, Jeremy2
1Instituto de Matemáticas, UNAM, Ciudad Universitaria, 04510 México DF, México
2250 E Houston St no 3J, New York City NY 10002, USA
Algebraic and Geometric Topology, Tome 1 (2001) no. 1, pp. 31-37
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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.

DOI : 10.2140/agt.2001.1.31
Keywords: incompressible surface, Haken manifold.

Eudave-Munoz, Mario  1   ; Shor, Jeremy  2

1 Instituto de Matemáticas, UNAM, Ciudad Universitaria, 04510 México DF, México
2 250 E Houston St no 3J, New York City NY 10002, USA 
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Eudave-Munoz, Mario; Shor, Jeremy. A universal bound for surfaces in 3-manifolds with a given Heegaard genus. Algebraic and Geometric Topology, Tome 1 (2001) no. 1, pp. 31-37. doi: 10.2140/agt.2001.1.31

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