تقرير
Trace field degrees in the Torelli group
| العنوان: | Trace field degrees in the Torelli group |
|---|---|
| المؤلفون: | Lanneau, Erwan, Liechti, Livio |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Geometric Topology, Mathematics - Dynamical Systems, 57K20, 11R09 |
| الوصف: | We show that for $g\ge 2$, all integers $1 \le d \le 3g-3$ arise as trace field degrees of pseudo-Anosov mapping classes in the Torelli group of the closed orientable surface of genus $g$. Our method uses the Thurston-Veech construction of pseudo-Anosov maps, and we provide examples where the stretch factor has algebraic degree any even number between two and $6g-6$. This validates a claim by Thurston from the 1980s. Comment: 22 pages, 10 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2405.17194 |
| رقم الأكسشن: | edsarx.2405.17194 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |