The Thurston polytope for four-stranded pretzel links

Joan E. Licata

doi:10.2140/agt.2008.8.211

The Thurston polytope for four-stranded pretzel links

Joan E. Licata

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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), r_i, q_i ε Z⁺. We apply this result to determine the Thurston norms of spanning surfaces for the individual link components, and we explicitly construct normrealizing surfaces for the homology classes which are vertices of the Thurston polytope.

Original language	English
Pages (from-to)	211-243
Number of pages	33
Journal	Algebraic and Geometric Topology
Volume	8
Issue number	1
DOIs	https://doi.org/10.2140/agt.2008.8.211
Publication status	Published - 2008
Externally published	Yes

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10.2140/agt.2008.8.211

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title = "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), ri, qi ε Z+. We apply this result to determine the Thurston norms of spanning surfaces for the individual link components, and we explicitly construct normrealizing surfaces for the homology classes which are vertices of the Thurston polytope.",

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AU - Licata, Joan E.

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N2 - 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 ε Z+. We apply this result to determine the Thurston norms of spanning surfaces for the individual link components, and we explicitly construct normrealizing surfaces for the homology classes which are vertices of the Thurston polytope.

AB - 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 ε Z+. We apply this result to determine the Thurston norms of spanning surfaces for the individual link components, and we explicitly construct normrealizing surfaces for the homology classes which are vertices of the Thurston polytope.

KW - Heegaard floer

KW - Pretzel link

KW - Seifert surface

KW - Thurston norm

UR - https://www.scopus.com/pages/publications/72949092494

U2 - 10.2140/agt.2008.8.211

DO - 10.2140/agt.2008.8.211

M3 - Article

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SP - 211

EP - 243

JO - Algebraic and Geometric Topology

JF - Algebraic and Geometric Topology

IS - 1

ER -

The Thurston polytope for four-stranded pretzel links

Abstract

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