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The Thurston polytope for four-stranded pretzel links

Joan E. Licata

math.GTarXiv:math/0609466

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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