English

The Thurston polytope for four-stranded pretzel links

Geometric Topology 2014-10-01 v1

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.

Cite

@article{arxiv.math/0609466,
  title  = {The Thurston polytope for four-stranded pretzel links},
  author = {Joan E. Licata},
  journal= {arXiv preprint arXiv:math/0609466},
  year   = {2014}
}