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arXiv · 1607.06926

Obstructions for Twist Star Products

Pierre Bieliavsky·Chiara Esposito·Stefan Waldmann·Thomas Weber
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Abstract

In this short note we point out that not every star product is induced by a Drinfel'd twist by showing that not every Poisson structure is induced by a classical $r$-matrix. Examples include the higher genus symplectic Pretzel surfaces and the symplectic sphere $\mathbb{S}^2$.

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Pierre Bieliavsky, Chiara Esposito, Stefan Waldmann, Thomas Weber. 2016-07-23. Obstructions for Twist Star Products. https://doi.org/10.1007/s11005-017-1034-z

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