paper

Formality for Lie algebroids

arXiv:math/0404265 · doi:10.1007/s00220-005-1350-5

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.

15 pages, final version, to appear in CMP

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Formality for Lie algebroids · wovepaper