تقرير
Friezes for a pair of pants
| العنوان: | Friezes for a pair of pants |
|---|---|
| المؤلفون: | Canakci, Ilke, Felikson, Anna, Elsener, Ana Garcia, Tumarkin, Pavel |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Combinatorics |
| الوصف: | Frieze patterns are numerical arrangements that satisfy a local arithmetic rule. These arrangements are actively studied in connection to the theory of cluster algebras. In the setting of cluster algebras, the notion of a frieze pattern can be generalized, in particular to a frieze associated with a bordered marked surface endowed with a decorated hyperbolic metric. We study friezes associated with a pair of pants, interpreting entries of the frieze as lambda-lengths of arcs connecting the marked points. We prove that all positive integral friezes over such surfaces are unitary, i.e. they arise from triangulations with all edges having unit lambda-lengths. Comment: Accepted for publication in Proceedings of the Formal Power Series and Algebraic Combinatorics 2022 - S\'eminaire Lotharingien de Combinatoire |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2111.13135 |
| رقم الأكسشن: | edsarx.2111.13135 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |