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GAIA Seminar-Dr. Inyoung Kim

posted Jul 7, 2014, 9:52 PM by Hyemin Shin   [ updated Jul 7, 2014, 9:56 PM ]
 
Title: Almost-Kahler anti-self-dual metrics
 
Speaker: Dr. Inyoung Kim (POSTECH)
 
Abstract:
We show the existence of strictly almost-Kahler anti-self-dual metrics on certain 4-manifolds by deforming a scalar-flat Kahler metric. We prove any almost-Kahler anti-self-dual 4-manifold has a non-trivial Seiberg-Witten invariant. Using this, we show almost-Kahler anti-self-dual metrics do not exist on certain other 4-manifolds.

 

References

[L] C. LeBrun, On the scalar curvature of complex surfaces, Geom. Func. An. 5 (1995) 619-628.

[LS] C. LeBrun, M.A. Singer, Existence and deformation theory for scalar-flat Kahler metrics on compact complex surfaces, Inv. Math. 112 (1993) 273-313.

 

Place: GAIA Seminar Room (#106, Math Science bldg.)
Date: 16:00-18:00, July 16, 2014
 
Contact:Hyemin Shin ( hyemin@postech.ac.kr, Tel. 279-8021)
 
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Hyemin Shin,
Jul 7, 2014, 9:52 PM
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Hyemin Shin,
Jul 7, 2014, 9:52 PM
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