Symplectic forms and surfaces of negative square
辛几何
2011-01-27 v1
摘要
We introduce an analogue of the inflation technique of Lalonde-McDuff, allowing us to obtain new symplectic forms from symplectic surfaces of negative self-intersection in symplectic four-manifolds. We consider the implications of this construction for the symplectic cones of K\"ahler surfaces, proving along the way a result which can be used to simplify the intersections of distinct pseudoholomorphic curves via a perturbation.
引用
@article{arxiv.math/0601540,
title = {Symplectic forms and surfaces of negative square},
author = {Tian-Jun Li and Michael Usher},
journal= {arXiv preprint arXiv:math/0601540},
year = {2011}
}
备注
17 pages. To appear in Journal of Symplectic Geometry