2006/01/23 by Tian-Jun Li, Michael Usher · 1 citation
Mathematics · #math.SG #msc:53D05
published as J. Symplectic Geom. 4 (2006), no. 1, 71--91 · 17 pages. To appear in Journal of Symplectic Geometry
arxiv created 2006/01/23 · arxiv updated 2011/01/27
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 Kähler surfaces, proving along the way a result which can be used to simplify the intersections of distinct pseudoholomorphic curves via a perturbation.