تقرير
Higher Multi-Courant Algebroids
| العنوان: | Higher Multi-Courant Algebroids |
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| المؤلفون: | Antunes, P., da Costa, J. M. Nunes |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, Mathematical Physics, 53D17, 17B70, 58A50 |
| الوصف: | The binary bracket of a Courant algebroid structure on $(E,\langle \cdot,\cdot \rangle)$ can be extended to a $n$-ary bracket on $\Gamma(E)$, yielding a multi-Courant algebroid. These $n$-ary brackets form a Poisson algebra and were defined, in an algebraic setting, by Keller and Waldmann. We construct a higher geometric version of Keller-Waldmann Poisson algebra and define higher multi-Courant algebroids. As Courant algebroid structures can be seen as degree $3$ functions on a graded symplectic manifold of degree $2$, higher multi-Courant structures can be seen as functions of degree $n\geq 3$ on that graded symplectic manifold. Comment: 20 pages, to appear in Journal of Geometry and Physics |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.geomphys.2022.104605 |
| URL الوصول: | http://arxiv.org/abs/2206.10231 |
| رقم الأكسشن: | edsarx.2206.10231 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.geomphys.2022.104605 |
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