Obstructions for Twist Star Products

Published 23 Jul 2016 in math.QA, math-ph, math.MP, and math.SG | (1607.06926v1)

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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