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arXiv · 1407.1089

Stability and Existence of Surfaces in Symplectic 4-Manifolds with $b^+=1$

Josef G. Dorfmeister·Tian-Jun Li·Weiwei Wu
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Abstract

We establish various stability results for symplectic surfaces in symplectic $4-$manifolds with $b^+=1$. These results are then applied to prove the existence of representatives of Lagrangian ADE-configurations as well as to classify negative symplectic spheres in symplectic $4-$manifolds with $κ=-\infty$. This involves the explicit construction of spheres in rational manifolds via a new construction technique called the tilted transport.

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Josef G. Dorfmeister, Tian-Jun Li, Weiwei Wu. 2014-07-03. Stability and Existence of Surfaces in Symplectic 4-Manifolds with $b^+=1$. https://arxiv.org/abs/1407.1089

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