تقرير
Local Index Theory for the Rarita-Schwinger Operator
| العنوان: | Local Index Theory for the Rarita-Schwinger Operator |
|---|---|
| المؤلفون: | Richtsfeld, Alberto |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, 58J20 (Primary) 47A53, 53C27, 58J35 (Secondary) |
| الوصف: | We prove the local index theorem for the Rarita-Schwinger operator and higher Dirac operators using Gilkey's invariance theory. That is, we show that the supertrace of the heat kernel of a given geometric operator converges as time goes to zero, and identifies the limit as the Chern-Weil form of the Atiyah-Singer integrand. Comment: 19 pages, 1 figure |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2402.04430 |
| رقم الأكسشن: | edsarx.2402.04430 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |