Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
王宏玉 教授, 扬州大学
Inviter:
Title:
On Tamed Almost Complex Four-Manifolds
Time & Venue:
2017.6.26 10:00-11:00 N913
Abstract:
In this talk,we prove that on any tamed closed almost complex four-manifold with self-dual second Betti number one, there exists a new symplectic form compatible with the given almost complex structure. Thus, we give an affirmative answer to Donaldson question for tamed closed almost complex four-manifolds with self-dual second Betti number one. Our approach is along the lines used by Buchdahl to give a unified proof of the Kodaira conjecture.