Exponential map and $L_\infty$ algebra associated to a Lie pair
Quantum Algebra
2012-11-16 v1 Differential Geometry
Abstract
In this note, we unveil homotopy-rich algebraic structures generated by the Atiyah classes relative to a Lie pair of algebroids. In particular, we prove that the quotient of such a pair admits an essentially canonical homotopy module structure over the Lie algebroid , which we call Kapranov module.
Keywords
Cite
@article{arxiv.1211.3478,
title = {Exponential map and $L_\infty$ algebra associated to a Lie pair},
author = {Camille Laurent-Gengoux and Mathieu Stiénon and Ping Xu},
journal= {arXiv preprint arXiv:1211.3478},
year = {2012}
}
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7 pages