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arXiv · 2109.13981

Poisson structures on the conifold and local Calabi-Yau threefolds

Edoardo Ballico·Elizabeth Gasparim·Thomas Köppe·Bruno Suzuki
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Abstract

We describe bivector fields and Poisson structures on local Calabi-Yau threefolds which are total spaces of vector bundles on a contractible rational curve. In particular, we calculate all possible holomorphic Poisson structures on the conifold.

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Edoardo Ballico, Elizabeth Gasparim, Thomas Köppe, Bruno Suzuki. 2021-09-28. Poisson structures on the conifold and local Calabi-Yau threefolds. https://doi.org/10.1016/s0034-4877(22)00078-7

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