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math.DG2018
Poisson Cohomology of Broken Lefschetz Fibrations
Panagiotis Batakidis, Ramón Vera
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 t…
math.DG2014★ 9 cited
Poisson structures on smooth 4-manifolds
Luis C. García-Naranjo, Pablo Suárez-Serrato, Ramón Vera
We show that every closed oriented smooth 4-manifold admits a complete singular Poisson structure in each homotopy class of maps to the 2-sphere. The rank of this structure is 2 ou…