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This article is available for purchase or by subscription. See below.
Abstract
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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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Keywords
Seifert fibered space, Kakimizu complex, orbifold-homotopy
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Mathematical Subject Classification 2010
Primary: 57M10
Secondary: 57M50
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Publication
Received: 29 June 2017
Revised: 19 January 2018
Accepted: 22 March 2018
Published: 22 August 2018
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