Year: 2014
Author: Qiang Tan, Haifeng Xu
Communications in Mathematical Research , Vol. 30 (2014), Iss. 2 : pp. 179–182
Abstract
Recently, Tedi Draghici and Weiyi Zhang studied Donaldson's "tamed to compatible" question (Draghici T, Zhang W. A note on exact forms on almost complex manifolds. arXiv: 1111. 7287v1 [math. SG]. Submitted on 30 Nov. 2011). That is, for a compact almost complex 4-manifold whose almost complex structure is tamed by a symplectic form, is there a symplectic form compatible with this almost complex structure? They got several equivalent forms of this problem by studying the space of exact forms on such a manifold. With these equivalent forms, they proved a result which can be thought as a further partial answer to Donaldson's question in dimension 4. In this note, we give another simpler proof of their result.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2014.02.08
Communications in Mathematical Research , Vol. 30 (2014), Iss. 2 : pp. 179–182
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 4
Keywords: compact almost complex 4-manifold $ω$-tame almost complex structure $ω$-compatible almost complex structure.