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Preprint

Formal Poisson (co)homology of the Lefschetz singularity

MPS-Authors
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Zeiser,  Florian
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://doi.org/10.48550/arXiv.2403.16300
(Preprint)

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Fulltext (public)

2403.16300.pdf
(Preprint), 425KB

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Citation

Toussaint, L., & Zeiser, F. (submitted). Formal Poisson (co)homology of the Lefschetz singularity.


Cite as: https://hdl.handle.net/21.11116/0000-000F-5444-6
Abstract
We compute the formal Poisson cohomology groups of a real Poisson structure π on C2 associated to the Lefschetz singularity (z1,z2)↦z21+z22. 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.