Almost sufficiently large Seifert fiber spaces.
نویسندگان
چکیده
منابع مشابه
Minimal Surfaces in Seifert Fiber Spaces
This paper studies the minimal surfaces in Seifert fiber spaces equipped with their natural geometric structures. The minimal surfaces in these 3-manifolds are always either vertical, namely always tangent to fibers, or horizontal, always transverse to fibers. This gives a classification of injective surfaces in these manifolds, previously obtained by Waldhausen for embedded injective surfaces....
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We show that if an orientable Seifert fibered space M with an orientable genus g base space admits a strongly irreducible horizontal Heegaard splitting then there is a one-to-one correspondence between isotopy classes of strongly irreducible horizontal Heegaard splittings and elements of Z. The correspondence is determined by the slopes of intersection of each Heegaard splitting with a collecti...
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obtained by adding 2-handles to S× [−1, 1] along the curves of X×−1 and Y ×1 and then adding 3-handles along all resulting 2-sphere boundary components. The decomposition of M by S × 0 is the associated (Heegaard) splitting of M and the genus of S is called the genus of the splitting. A positive diagram is a diagram in which S, X , and Y are oriented and the intersection number < X, Y >p of X w...
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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 1973
ISSN: 0026-2285
DOI: 10.1307/mmj/1029001101