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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


Heegaard splittings of Seifert fibered spaces with boundary

Author: Jennifer Schultens
Journal: Trans. Amer. Math. Soc. 347 (1995), 2533-2552
MSC: Primary 57N10
MathSciNet review: 1297537
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Abstract: We give the classification theorem for Heegaard splittings of fiberwise orientable Seifert fibered spaces with nonempty boundary. A thin position argument yields a reducibility result which, by induction, shows that all Heegaard splittings of such manifolds are vertical in the sense of Lustig-Moriah. Algebraic arguments allow a classification of the vertical Heegaard splittings.

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PII: S 0002-9947(1995)1297537-5
Article copyright: © Copyright 1995 American Mathematical Society

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