Geodesic
Kakimizu complexes of Seifert fibered spaces
Schultens, Jennifer1
1 Department of Mathematics, University of California, Davis, Davis, CA, United States
Algebraic and Geometric Topology, Tome 18 (2018) no. 5, pp. 2897-2918

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/agt.2018.18.2897
Classification : 57M10, 57M50
Keywords: Seifert fibered space, Kakimizu complex, orbifold-homotopy

Schultens, Jennifer 1

1 Department of Mathematics, University of California, Davis, Davis, CA, United States 
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Schultens, Jennifer. Kakimizu complexes of Seifert fibered spaces. Algebraic and Geometric Topology, Tome 18 (2018) no. 5, pp. 2897-2918. doi: 10.2140/agt.2018.18.2897

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