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Abstract
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In this paper we use Heegaard Floer link homology to determine
the dual Thurston polytope for pretzel links of the form
. We
apply this result to determine the Thurston norms of spanning surfaces for the
individual link components, and we explicitly construct norm-realizing surfaces for
the homology classes which are vertices of the Thurston polytope.
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Keywords
Thurston norm, pretzel link, Heegaard Floer, Seifert
surface
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Mathematical Subject Classification 2000
Primary: 57M27
Secondary: 53D99, 57R58, 57M25
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Publication
Received: 4 October 2006
Revised: 16 August 2007
Accepted: 4 December 2007
Published: 12 March 2008
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