$BV_\infty$ quantization of Lie algebroid pairs
组织者
演讲者
向茂松
时间
2024年12月16日 10:50 至 11:35
地点
A3-4-101
线上
Zoom 815 762 8413
(BIMSA)
摘要
In this talk, we will first review the construction of (-1)-shifted derived Poisson manifolds from Lie algebroid pairs by Bandiera-Chen-Stienon-Xu. In particular, when the Lie algebroid pair is the one from a Calabi-Yau manifold $X$, their construction recovers the canonical dg BV algebra structure on the space of polyvector fields on $X$. Then we will discuss the canonical $BV_\infty$ quantization of this (-1)-shifted derived Poisson manifolds in the framework of Behrend-Peddie-Xu, by describe explicitly the $BV_\infty$ algebra structure on the half-density space.