Geodesic
ASYMPTOTIC TRIANGULATIONS AND COXETER TRANSFORMATIONS OF THE ANNULUS
Glasgow mathematical journal, Tome 60 (2018) no. 1, pp. 63-96

Voir la notice de l'article provenant de la source Cambridge University Press

Asymptotic triangulations can be viewed as limits of triangulations under the action of the mapping class group. In the case of the annulus, such triangulations have been introduced in K. Baur and G. Dupont (Compactifying exchange graphs: Annuli and tubes, Ann. Comb.3(18) (2014), 797–839). We construct an alternative method of obtaining these asymptotic triangulations using Coxeter transformations. This provides us with an algebraic and combinatorial framework for studying these limits via the associated quivers. 
VOGEL, HANNAH; FELIKSON, ANNA; TUMARKIN, PAVEL. ASYMPTOTIC TRIANGULATIONS AND COXETER TRANSFORMATIONS OF THE ANNULUS. Glasgow mathematical journal, Tome 60 (2018) no. 1, pp. 63-96. doi: 10.1017/S0017089516000574
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