Q-流形的模类及其应用
Modular classes of Q-manifolds: a review and some applications
摘要：
一个Q流形是一个配备了一个平方为零的奇向量场的超流形。Q流形的模类的概念--它被看作是Q不变Berezin体积存在的障碍--并不为人所知。我们回顾的基本思想，然后将这种技术应用到各种例子，包括$L_{\infty}$ -代数体和更高的泊松流形。
英文摘要：
A Q-manifold is a supermanifold equipped with an odd vector field that squares to zero. The notion of the modular class of a Q-manifold -- which is viewed as the obstruction to the existence of a Q-invariant Berezin volume -- is not well know. We review the basic ideas and then apply this technology to various examples, including $L_{\infty}$-algebroids and higher Poisson manifolds.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
