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The Characteristic Classes of Morita Equivalent Star Products on Symplectic Manifolds

✍ Scribed by Henrique Bursztyn; Stefan Waldmann

Publisher
Springer
Year
2002
Tongue
English
Weight
167 KB
Volume
228
Category
Article
ISSN
0010-3616

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πŸ“œ SIMILAR VOLUMES

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This article, in conjunction with a previous one, proves Drinfeld's theorems about invariant star products, ISPS, on a connected Lie group G endowed with an invariant symplectic structure PI E Z\*(n). In particular, we prove that every formal 2-cocycle & E PI + A Z\*(g)) [[h]] determines an ISP, FBf

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We prove the existence of star-products and of formal deformations of the Poisson Lie algebra of an arbitrary symplectic manifold. Moreover, all the obstructions encountered in the step-wise construction of formal deformations are vanishing.