Heegaard splittings of Seifert fibered spaces with boundary

Schultens, Jennifer

doi:10.1090/S0002-9947-1995-1297537-5

Heegaard splittings of Seifert fibered spaces with boundary
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by Jennifer Schultens

Trans. Amer. Math. Soc. 347 (1995), 2533-2552

DOI: https://doi.org/10.1090/S0002-9947-1995-1297537-5

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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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