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arXiv · 1211.3478

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

Camille Laurent-Gengoux·Mathieu Stiénon·Ping Xu
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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.

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Camille Laurent-Gengoux, Mathieu Stiénon, Ping Xu. 2012-11-15. Exponential map and $L_\infty$ algebra associated to a Lie pair. https://doi.org/10.1016/j.crma.2012.08.009

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