2006/09/16 by Joan E. Licata · 4 citations
Mathematics · #Advanced Combinatorial Mathematics #Combinatorics #Discrete mathematics #Dual (grammatical number) #Geometric and Algebraic Topology #Homology (biology) #Homotopy and Cohomology in Algebraic Topology #Link (geometry) #Mathematics #Polytope #math.GT #msc:53D #msc:57M25 #msc:57R
paper · pdf · doi:10.2140/agt.2008.8.211
published in Algebraic & Geometric Topology 8(1), 211-243 (Mathematical Sciences Publishers)
arxiv created 2006/09/16 · openalex publication_date 2008/03/12 · arxiv updated 2014/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 C 1/; r i ; q i 2 Z C . 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.