2013/03/14 by Karin Baur, Baur, Karin, Grégoire Dupont +1
Mathematics · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.1303.3397
openalex publication_date 2013/03/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce the notion of an asymptotic triangulation of the annulus. We show that asymptotic triangulations can be mutated as the usual triangulations and describe their exchange graph. Viewing asymptotic triangulations as limits of triangulations under the action of the mapping class group, we compactify the exchange graph of the triangulations of the annulus. The cases of tubes are also considered.