  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 by Baur and Dupont. 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.

Combinatorics;Representation Theory