تقرير
Construction of Hodge structures on the $\mathrm{SO}(3)$ modular functors
| العنوان: | Construction of Hodge structures on the $\mathrm{SO}(3)$ modular functors |
|---|---|
| المؤلفون: | Godfard, Pierre |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Geometric Topology, Mathematics - Algebraic Geometry, Mathematics - Quantum Algebra, 57R56, 14D07, 20G42 (Primary) 14H10, 32G15 (Secondary) |
| الوصف: | We prove that $\mathrm{SO}(3)$ modular functors in genus $0$ have geometric origin and support integral variations of Hodge structures for any odd level $r$ and $r$-th root of unity $\zeta_r\in\mathbb{C}$. We identify the TQFT intersection forms and integral structures with the geometric ones. Moreover, the gluing property of the modular functors is recovered geometrically as a K\"unneth formula. The construction is based on the homological models of Felder-Wieczerkowski and Martel. Comment: 67 pages, 28 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2402.16804 |
| رقم الأكسشن: | edsarx.2402.16804 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |