$BV_\infty$ quantization of Lie algebroid pairs
Organizer
Speaker
Maosong Xiang
Time
Monday, December 16, 2024 10:50 AM - 11:35 AM
Venue
A3-4-101
Online
Zoom 815 762 8413
(BIMSA)
Abstract
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.