تقرير
Generalized cycles on Spectral Curves
| العنوان: | Generalized cycles on Spectral Curves |
|---|---|
| المؤلفون: | Eynard, B. |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics High Energy Physics - Theory Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, High Energy Physics - Theory, 14C25, 30D30, 53C65 |
| الوصف: | Generalized cycles can be thought of as the extension of form-cycle duality between holomorphic forms and cycles, to meromorphic forms and generalized cycles. They appeared as an ubiquitous tool in the study of spectral curves and integrable systems in the topological recursion approach. They parametrize deformations, implementing the special geometry, where moduli are periods, and derivatives with respect to moduli are other periods, or more generally "integrals", whence the name "generalized cycles". They appeared over the years in various works, each time in specific applied frameworks, and here we provide a comprehensive self-contained corpus of definitions and properties for a very general setting. The geometry of generalized cycles is also fascinating by itself. Comment: 36 pages, latex. v2 minor modifs |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2311.15450 |
| رقم الأكسشن: | edsarx.2311.15450 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |