تقرير
Batalin-Vilkovisky algebra structure on Poisson manifolds with diagonalizable modular symmetry
| العنوان: | Batalin-Vilkovisky algebra structure on Poisson manifolds with diagonalizable modular symmetry |
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| المؤلفون: | Chen, Xiaojun, Liu, Leilei, Yu, Sirui, Zeng, Jieheng |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, Mathematical Physics, 53D17, 55D05, 17B63 |
| الوصف: | We study the ``twisted" Poincar\'e duality of smooth Poisson manifolds, and show that, if the modular vector field is diagonalizable, then there is a mixed complex associated to the Poisson complex, which, combining with the twisted Poincar\'e duality, gives a Batalin-Vilkovisky algebra structure on the Poisson cohomology. This generalizes the previous results obtained by Xu for unimodular Poisson manifolds. We also show that the Batalin-Vilkovisky algebra structure is preserved under Kontsevich's deformation quantization, and in the case of polynomial algebras it is also preserved by Koszul duality. Comment: 30 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2104.14099 |
| رقم الأكسشن: | edsarx.2104.14099 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |