Title: Almost-Kahler anti-self-dual metrics
Speaker: Dr. Inyoung Kim (POSTECH)
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.
[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 ( email@example.com, Tel. 279-8021)