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arXiv · 1805.04435

Poisson Cohomology of Broken Lefschetz Fibrations

Panagiotis Batakidis·Ramón Vera
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Abstract

We compute the formal Poisson cohomology of a broken Lefschetz fibration by calculating it at fold and Lefschetz singularities. Near a fold singularity the computation reduces to that for a point singularity in 3 dimensions. For the Poisson cohomology around singular points we adapt techniques developed for the Sklyanin algebra. As a side result, we give compact formulas for the Poisson coboundary operator of an arbitrary Jacobian Poisson structure in 4 dimensions.

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BibTeXRIS

Panagiotis Batakidis, Ramón Vera. 2018-05-11. Poisson Cohomology of Broken Lefschetz Fibrations. https://arxiv.org/abs/1805.04435

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