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Formality for Lie algebroids

Damien Calaque
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Abstract

Using Dolgushev's generalization of Fedosov's method for deformation quantization, we give a positive answer to a question of P.Xu: can one prove a formality theorem for Lie algebroids ? As a direct application of this result, we obtain that any triangular Lie bialgebroid is quantizable.

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Damien Calaque. 2004-12-18. Formality for Lie algebroids. https://doi.org/10.1007/s00220-005-1350-5

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