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Symplectic forms and surfaces of negative square

Tian-Jun Li·Michael Usher
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Abstract

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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Tian-Jun Li, Michael Usher. 2006-01-23. Symplectic forms and surfaces of negative square. https://arxiv.org/abs/math/0601540

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