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

2020/12/22 by Yasuyoshi Ito, Ito, Yasuyoshi, Masaki Ogawa +1
Engineering · Mathematics · #57N10 #Control and Dynamics of Mobile Robots #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT #msc:57N10

paper · pdf · doi:10.48550/arxiv.2012.11861

39 pages, 14 figures

openalex publication_date 2020/12/22 · arxiv created 2021/05/10 · arxiv updated 2021/05/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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