The Thurston polytope for four-stranded pretzel links
Abstract
In this paper we use Heegaard Floer link homology to determine the dual Thurston polytope for pretzel links of the form P(-2r1-1, 2q1, -2q2, 2r2+1) where ri and qi 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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