Riv. Mat. Univ. Parma, Vol. 13, No. 2, 2022
Jun Li ^{[a]}, TianJun Li ^{[b]} and Weiwei Wu ^{[c]}
The space of tamed almost complex structures
on symplectic 4manifolds via symplectic spheres
Pages: 651670
Received: 1 February 2022
Accepted in revised form: 18 May 2022
Mathematics Subject Classification: 57R17.
Keywords: Symplectic 4manifolds, almost complex structure.
Authors address:
[a]: Department of Mathematics, University of Michigan, Ann Arbor, MI
[b]: School of Mathematics, University of Minnesota, Minneapolis, MN
[c]: Department of Mathematics, University of Georgia, Athens, GA
The authors were supported by NSF, and the firstnamed author is supported by the AMSSimons travel grant.
Full Text (PDF)
Abstract:
In this note, we study a fine decomposition of the space of tamed almost complex
structures for symplectic 4 manifolds via symplectic spheres.
We also show that every tamed almost complex structure on a rational surface other than \(\mathbb{C} P^2\) is fibred.
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