Poisson actions up to homotopy and their quantization

Details Poisson actions up to homotopy and their quantization Poisson actions up to homotopy and their quantization

2006-01-13

arxiv.org/abs/math/0601331v2

Mathematics

Differential Geometry

8 pages

Scientific paper

10.1007/s11005-006-0089-z

Symmetries of Poisson manifolds are in general quantized just to symmetries up to homotopy of the quantized algebra of functions. It is therefore interesting to study symmetries up to homotopy of Poisson manifolds. We notice that they are equivalent to Poisson principal bundles and describe their quantization to symmetries up to homotopy of the quantized algebras of functions.

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