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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.) |
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