Atiyah class and Todd class of dg manifolds
发布时间:2019年02月20日
浏览次数:6504
发布者: He Liu
主讲人: Ping Xu (Penn State)
活动时间: 从 2019-02-21 14:00 到 16:00
场地: 北京国际数学研究中心,全斋全9教室
Résumé Exponential maps arise naturally in the contexts of Lie theory and smooth manifolds. The infinite jets of these classical exponential maps are related to the Poincaré--Birkhoff--Witt isomorphism and the complete symbols of differential operators. We will investigate the question how to extend these maps to dg manifolds. As an application, we will show there is an L-infinity structure in connection with the Atiyah class of a dg manifold. We will also consider several interesting examples.