Poisson Cohomology of Broken Lefschetz Fibrations
Differential Geometry
2020-07-09 v2 Mathematical Physics
math.MP
Quantum Algebra
Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.1805.04435,
title = {Poisson Cohomology of Broken Lefschetz Fibrations},
author = {Panagiotis Batakidis and Ramón Vera},
journal= {arXiv preprint arXiv:1805.04435},
year = {2020}
}
Comments
Final version, 30pp