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The Thurston polytope for four-stranded pretzel links

Joan E. Licata
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Abstract

In this paper we use Heegaard Floer link homology to determine the dual Thurston polytope for pretzel links of the form P(-2r_1-1, 2q_1, -2q_2, 2r_2+1) where r_i and q_i are positive integers. We apply this result to determine the Thurston norms of spanning surfaces for the individual link components, and we explicitly construct norm-realizing examples of such surfaces.

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BibTeXRIS

Joan E. Licata. 2006-09-16. The Thurston polytope for four-stranded pretzel links. https://doi.org/10.2140/agt.2008.8.211

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