Star products with separation of variables admitting a smooth extension

Details Star products with separation of variables admitting a smooth extension Star products with separation of variables admitting a smooth extension

2010-12-26

arxiv.org/abs/1012.5495v2

Mathematics

Quantum Algebra

17 pages, some additions and corrections made

Scientific paper

Given a complex manifold $M$ with an open dense subset $\Omega$ endowed with a pseudo-Kaehler form $\omega$ which cannot be smoothly extended to a larger open subset, we consider various examples where the corresponding Kaehler-Poisson structure and a star product with separation of variables on $(\Omega, \omega)$ admit smooth extensions to $M$. We suggest a simple criterion of the existence of a smooth extension of a star product and apply it to these examples.

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