paper

The Atiyah class of a dg-vector bundle

arXiv:1502.03119 · doi:10.1016/j.crma.2015.01.019

Abstract

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 admits a structure of L-infinity algebra with the Lie derivative as unary bracket, and the Atiyah cocycle corresponding to a torsion-free affine connection as binary bracket.

7 pages. To appear in Compte Rendus Math

References in corpus (1)

The Atiyah class of a dg-vector bundle · wovepaper