Geodesic
Dynamics of veering triangulations: infinitesimal components of their flow graphs and applications
Agol, Ian1 ; Tsang, Chi Cheuk2
1 Department of Mathematics, University of California, Berkeley, Berkeley, CA, United States
2 Département de mathématiques, Université du Québec à Montréal, Montreal, QC, Canada
Algebraic and Geometric Topology, Tome 24 (2024) no. 6, pp. 3401-3453

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We study the strongly connected components of the flow graph associated to a veering triangulation, and show that the infinitesimal components must be of a certain form, which have to do with subsets of the triangulation which we call “walls”. We show two applications of this knowledge: first, we fix a proof in the original paper by the first author which introduced veering triangulations; and second, give an alternate proof that veering triangulations induce pseudo-Anosov flows without perfect fits, which was initially proved by Schleimer and Segerman.

DOI : 10.2140/agt.2024.24.3401
Keywords: veering triangulation, flow graph, infinitesimal component, dilatation, pseudo-Anosov flow

Agol, Ian 1 ; Tsang, Chi Cheuk 2

1 Department of Mathematics, University of California, Berkeley, Berkeley, CA, United States
2 Département de mathématiques, Université du Québec à Montréal, Montreal, QC, Canada 
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Agol, Ian; Tsang, Chi Cheuk. Dynamics of veering triangulations: infinitesimal components of their flow graphs and applications. Algebraic and Geometric Topology, Tome 24 (2024) no. 6, pp. 3401-3453. doi: 10.2140/agt.2024.24.3401

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