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

Josef G. Dorfmeister, Tian Jun Li, Weiwei Wu

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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 languageEnglish (US)
Pages (from-to)115-155
Number of pages41
JournalJournal fur die Reine und Angewandte Mathematik
Issue number742
StatePublished - Sep 1 2018

Bibliographical note

Funding Information:
The first author was partially supported by the Simons Foundation #246043, the second author by NSF Grant DMS-1207037, and the third author by AMS-Simons travel funds. Moreover, the second and third author were supported by NSF Focused Research Grant DMS-0244663.

Publisher Copyright:
© 2018 De Gruyter.


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