Holomorphic curves in log-symplectic manifolds
Symplectic Geometry
2018-05-16 v2 Differential Geometry
Abstract
Log-symplectic structures are Poisson structures that are determined by a symplectic form with logarithmic singularities. We construct moduli spaces of curves with values in a log-symplectic manifold. Among the applications, we classify symplectically ruled log-symplectic manifolds (both orientable and non-orientable), and obstruct the existence of contact boundary components, in analogy with well-known theorems by McDuff. Moreover, we study certain log-symplectically ruled surfaces, using tools from symplectic field theory.
Keywords
Cite
@article{arxiv.1711.10978,
title = {Holomorphic curves in log-symplectic manifolds},
author = {Davide Alboresi},
journal= {arXiv preprint arXiv:1711.10978},
year = {2018}
}
Comments
52 pages, major revision. one section totally rewritten and one theorem removed because of a mistake. one of the main results strengthened, one new theorem added