Document Type

Article

Publication Date

4-2015

Publication Title

Comptes Rendus Mathematique

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 X(M) on a dg-manifold M with homological vector field Q admits a structure of L[1]-algebra with the Lie derivative LQ as unary bracket λ1, and the Atiyah cocycle AtM corresponding to a torsion-free affine connection as binary bracket λ2.

Volume

353

Issue

4

First Page

357

Last Page

362

DOI

dx.doi.org/10.1016/j.crma.2015.01.019

ISSN

1631-073X

Comments

En hommage à Charles-Michel Marle à l’occasion de son quatre-vingtième anniversaire.

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Mathematics Commons

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