Symplectic forms and surfaces of negative square

Details Symplectic forms and surfaces of negative square Symplectic forms and surfaces of negative square

2006-01-23

arxiv.org/abs/math/0601540v1

J. Symplectic Geom. 4 (2006), no. 1, 71--91

Mathematics

Symplectic Geometry

17 pages. To appear in Journal of Symplectic Geometry

Scientific paper

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.

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