Stability and existence of surfaces in symplectic 4-manifolds with b +=1

Josef G. Dorfmeister; Tian Jun Li; Weiwei Wu

doi:10.1515/crelle-2015-0083

Stability and existence of surfaces in symplectic 4-manifolds with b ⁺=1

Josef G. Dorfmeister, Tian Jun Li, Weiwei Wu

School of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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 k. This involves the explicit construction of spheres in rational manifolds via a new construction technique called the tilted transport.

Original language	English (US)
Pages (from-to)	115-155
Number of pages	41
Journal	Journal fur die Reine und Angewandte Mathematik
Volume	2018
Issue number	742
DOIs	https://doi.org/10.1515/crelle-2015-0083
State	Published - Sep 1 2018

Bibliographical note

Publisher Copyright:
© 2018 De Gruyter.

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10.1515/crelle-2015-0083

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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 k. This involves the explicit construction of spheres in rational manifolds via a new construction technique called the tilted transport.",

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