Atiyah class and Todd class of dg manifolds
Time: 2019-02-20
Published By: He Liu
Speaker(s): Ping Xu (Penn State)
Time: 14:00-16:00 February 21, 2019
Venue: Room 9, Quan Zhai, BICMR
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.
