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SEMINARS
Donaldson Question: Tamed to Compatible
时间  Datetime
2018-02-28 15:00 — 16:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
Hongyu Wang(王宏玉)
单位  Affiliation
Yangzhou University
邀请人  Host
Youlin Li
报告摘要  Abstract

In this talk, we show that on any tamed closed almost complex four manifold (M; J) whose dimension of J-anti-invariant cohomology is equal to self-dual second Betti number minus one, there exists a new symplectic form compatible with the given almost complex structure J. In particular, if the self-dual second Betti number is one, we give an armative answer to Donaldson question for tamed closed almost complex four-manifolds that is a conjecture in joint paper of Tosatti, Weinkove and Yau. Our approach is along the lines used by Buchdahl to give a unied proof of the Kodaira conjecture. Thus, our main result gives an armative answer to the Kodaira conjecture in symplectic version.