Gauge Theory in Geometry

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AbstractProposal: DMS 9803616Principal Investigator: Naichung Conan LeungThe scope of research covers topics in Gromov-Witten theory, Seiberg-Witten equations and almost Hermitian-Einstein equations. The proposed project is to count the number of holomorphic curves on Kahler manifolds with elliptic fibration in terms of modular forms; study the structure of Einstein four manifolds usingSeiberg-Witten equations and the geometry of Gieseker stable bundles.The principal investigator study equations describing differentgeometric objects and properties of their moduli spaces.