Formality for Lie algebroids

Details Formality for Lie algebroids Formality for Lie algebroids

2004-04-14

arxiv.org/abs/math/0404265v3

Comm. Math. Phys. 257 (2005), no. 3, 563-578

Mathematics

Quantum Algebra

15 pages, final version, to appear in CMP

Scientific paper

10.1007/s00220-005-1350-5

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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