XXXV Workshop on Geometric Methods in Physics | 26.06-2.07.2016 |

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## Alexander Karabegov## Deformation quantization with separation of variables on a split supermanifoldGiven a holomorphic vector bundle $E$ on a complex manifold $M$ and a star product with separation of variables $\star$ on $M$, we lift the product $\star$ to a star product with separation of variables $\ast$ on the split supermanifold $\Pi E$. A trace density of the star product $\star$ is lifted to a trace density of the product $\ast$ on $\Pi E$, which is explicitly described. |

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