ASYMPTOTIC TRIANGULATIONS AND COXETER TRANSFORMATIONS OF THE ANNULUS

作者:Vogel Hannah*; Felikson Anna; Tumarkin Pavel
来源:Glasgow Mathematical Journal, 2018, 60(1): 63-96.
DOI:10.1017/S0017089516000574

摘要

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.

  • 出版日期2018-1

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