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

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
Format: Artikel
Sprache:eng
Schlagworte:
Decomposition
Lenses
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Zusammenfassung: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.
ISSN:2331-8422