Exponential map and $L_{\infty }$ algebra associated to a Lie pair

Abstract

In this note, we unveil homotopy-rich algebraic structures generated by the Atiyah classes relative to a Lie pair $(L,A)$ of algebroids. In particular, we prove that the quotient $L/A$ of such a pair admits an essentially canonical homotopy module structure over the Lie algebroid $A$, which we call Kapranov module.

7 pages

References in corpus (1)

• Holomorphic Poisson Manifolds and Holomorphic Lie Algebroids