Kakimizu complexes of Seifert fibered spaces

Schultens, Jennifer

doi:10.2140/agt.2018.18.2897

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Kakimizu complexes of Seifert fibered spaces

Jennifer Schultens

Algebraic & Geometric Topology 18 (2018) 2897–2918

DOI: 10.2140/agt.2018.18.2897

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.

Keywords

Seifert fibered space, Kakimizu complex, orbifold-homotopy

Mathematical Subject Classification 2010

Primary: 57M10

Secondary: 57M50

References

Publication

Received: 29 June 2017

Revised: 19 January 2018

Accepted: 22 March 2018

Published: 22 August 2018

Authors

Jennifer Schultens
Department of Mathematics University of California, Davis Davis, CA United States

Volume 18, issue 5 (2018)