Volume 18, issue 5 (2018)

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Kakimizu complexes of Seifert fibered spaces

Jennifer Schultens

Algebraic & Geometric Topology 18 (2018) 2897–2918

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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Seifert fibered space, Kakimizu complex, orbifold-homotopy
Mathematical Subject Classification 2010
Primary: 57M10
Secondary: 57M50
Received: 29 June 2017
Revised: 19 January 2018
Accepted: 22 March 2018
Published: 22 August 2018
Jennifer Schultens
Department of Mathematics
University of California, Davis
Davis, CA
United States