Heegaard Genus Formula for Haken Manifolds |
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Authors: | Jennifer Schultens |
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Institution: | (1) Department of Mathematics, University of California, 1 Shields Ave, Davis, CA 95616, USA |
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Abstract: | Suppose M is a compact orientable 3-manifold and a properly embedded orientable boundary incompressible essential surface. Denote the completions of the components of M – Q with respect to the path metric by M
1, ...,M
k
. Denote the smallest possible genus of a Heegaard splitting of M, or M
j
respectively, for which ∂M, or ∂M
j
respectively, is contained in one compression body by g(M, ∂M), or g(M
j
, ∂M
j
) respectively. Denote the maximal number of non-parallel essential annuli that can be simultaneously embedded in M
j
by n
j
. Then |
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Keywords: | Heegaard genus Essential surface Genus formula |
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