Author:
Dorfmeister Josef G.,Li Tian-Jun,Wu Weiwei
Abstract
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
\kappa=-\infty
. This
involves the explicit construction of spheres in rational manifolds
via a new construction technique called the tilted transport.
Funder
Simons Foundation
National Science Foundation
Subject
Applied Mathematics,General Mathematics
Reference84 articles.
1. The minimal genus of an embedded surface of non-negative square in a rational surface;Turkish J. Math.,1996
2. Symplectic tori in rational elliptic surfaces;Math. Ann.,2006
3. Secondary Stiefel–Whitney class and diffeomorphisms of rational and ruled symplectic 4-manifolds;Preprint,2009
4. Exact Lagrangians in AnA_{n}-singularities;Math. Ann.,2014
5. Lagrangian barriers and symplectic embeddings;Geom. Funct. Anal.,2001
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献