Holomorphic jets in symplectic manifolds
Symplectic Geometry
2015-09-29 v2 Differential Geometry
Functional Analysis
Abstract
We define pointwise partial differential relations for holomorphic discs. Given a relative homotopy class, a relation, and a generic almost complex structure we provide the moduli space of discs which have an injective point with the structure of a smooth manifold. Applications to the local behaviour are given and an adjunction inequality for singularities is derived. Moreover, we show that for a coordinate class of a monotone Lagrangian split torus generically the number of non-immersed holomorphic discs is even.
Cite
@article{arxiv.1303.0486,
title = {Holomorphic jets in symplectic manifolds},
author = {Kai Zehmisch},
journal= {arXiv preprint arXiv:1303.0486},
year = {2015}
}
Comments
Improved exposition and stronger results due to referees remarks, appendix added, to appear in J. Fixed Point Theory Appl