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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.16300 |
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Table of Contents:
- We compute the formal Poisson cohomology groups of a real Poisson structure $π$ on $\mathbb{C}^2$ associated to the Lefschetz singularity $(z_1, z_2)\mapsto z_1^2+z_2^2$. In particular we correct an erroneous computation in the literature. The definition of $π$ depends on a choice of volume form. Using the main result we formally classify all Poisson structure arising from different choices of volume forms.