Geodesic
The Thurston polytope for four-stranded pretzel links
Licata, Joan1
1Department of Mathematics, Stanford University, Stanford, CA 94305, USA
Algebraic and Geometric Topology, Tome 8 (2008) no. 1, pp. 211-243
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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 P(−2r1 − 1,2q1,−2q2,2r2 + 1),ri,qi ∈ ℤ+. 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.

DOI : 10.2140/agt.2008.8.211
Keywords: Thurston norm, pretzel link, Heegaard Floer, Seifert surface

Licata, Joan  1

1 Department of Mathematics, Stanford University, Stanford, CA 94305, USA 
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Licata, Joan. The Thurston polytope for four-stranded pretzel links. Algebraic and Geometric Topology, Tome 8 (2008) no. 1, pp. 211-243. doi: 10.2140/agt.2008.8.211

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