Decompositions of the 3-sphere and lens spaces with three handlebodies

In this paper, we consider decompositions of 3-manifolds with three handlebodies. We classify such decompositions of the 3-sphere and lens spaces with small genera. These decompositions admit operations called stabilizations. We also determine whether these decompositions are stabilized.

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Veröffentlicht in:arXiv.org 2021-05
Hauptverfasser: Ito, Yasuyoshi, Ogawa, Masaki
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description In this paper, we consider decompositions of 3-manifolds with three handlebodies. We classify such decompositions of the 3-sphere and lens spaces with small genera. These decompositions admit operations called stabilizations. We also determine whether these decompositions are stabilized.
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title Decompositions of the 3-sphere and lens spaces with three handlebodies
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