Kakimizu complexes of Seifert fibered spaces

Jennifer Schultens

doi:10.2140/agt.2018.18.2897

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Home > Journals > Algebr. Geom. Topol. > Volume 18 > Issue 5 > Article

2018 Kakimizu complexes of Seifert fibered spaces

Jennifer Schultens

Algebr. Geom. Topol. 18(5): 2897-2918 (2018). DOI: 10.2140/agt.2018.18.2897

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Abstract

Kakimizu complexes of Seifert fibered spaces can be described as either horizontal or vertical, depending on what type of surfaces represent their vertices. Horizontal Kakimizu complexes are shown to be trivial. Each vertical Kakimizu complex is shown to be isomorphic to a Kakimizu complex of the base orbifold minus its singular points.

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Jennifer Schultens. "Kakimizu complexes of Seifert fibered spaces." Algebr. Geom. Topol. 18 (5) 2897 - 2918, 2018. https://doi.org/10.2140/agt.2018.18.2897