%0 Journal Article
%T The Atiyah class of a dg-vector bundle
%A Rajan Amit Mehta
%A Mathieu Sti¨Śnon
%A Ping Xu
%J Mathematics
%D 2015
%I arXiv
%R 10.1016/j.crma.2015.01.019
%X We introduce the notions of Atiyah class and Todd class of a differential graded vector bundle with respect to a differential graded Lie algebroid. We prove that the space of vector fields on a dg-manifold with homological vector field $Q$ admits a structure of L-infinity algebra with the Lie derivative $L_Q$ as unary bracket, and the Atiyah cocycle corresponding to a torsion-free affine connection as binary bracket.
%U http://arxiv.org/abs/1502.03119v1