The Thurston polytope for four-stranded pretzel links

Details The Thurston polytope for four-stranded pretzel links The Thurston polytope for four-stranded pretzel links

2006-09-16

arxiv.org/abs/math/0609466v1

Mathematics

Geometric Topology

Scientific paper

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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