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Scientific article
Open access
English

Poisson Actions up to Homotopy and their Quantization

ContributorsSevera, Pavol
Published inLetters in mathematical physics, vol. 77, no. 2, p. 199-208
Collection
  • Open Access - Licence nationale Springer
Publication date2006
Abstract

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, using the formality theorem of Kontsevich.

Citation (ISO format)
SEVERA, Pavol. Poisson Actions up to Homotopy and their Quantization. In: Letters in mathematical physics, 2006, vol. 77, n° 2, p. 199–208. doi: 10.1007/s11005-006-0089-z
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Article (Published version)
accessLevelPublic
Identifiers
ISSN of the journal0377-9017
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