تقرير
Asymptotic Faithfulness of Quantum $\mathrm{Sp}(4)$ Mapping Class Group Representations
| العنوان: | Asymptotic Faithfulness of Quantum $\mathrm{Sp}(4)$ Mapping Class Group Representations |
|---|---|
| المؤلفون: | Bloomquist, Wade |
| سنة النشر: | 2018 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Quantum Algebra, Mathematics - Geometric Topology, 57R56, 57M27 |
| الوصف: | We prove asymptotic faithfulness for the quantum $\mathrm{Sp}(4)$ mapping class group representation. This provides the first example of asymptotic faithfulness lying outside of the $A_n$ family. The methods used are generalized from the proof of asymptotic faithfulness for skein $SU(2)_k$ mapping class group representations. In short, for any noncentral mapping class a comparison vector is found which allows for the mapping class to be detected. Comment: 12 pages, 13 figures. arXiv admin note: text overlap with arXiv:1611.04551 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1801.01268 |
| رقم الأكسشن: | edsarx.1801.01268 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |