Einstein Metrics and Yang-Mills Connections proceedings of the 27th Taniguchi international symposium Lecture Notes in Pure and Applied Mathematics Series

This volume contains papers presented at the 27th Taniguchi International Symposium, held in Sanda, Japan - focusing on the study of moduli spaces of various geometric objects such as Einstein metrics, conformal structures, and Yang-Mills connections from algebraic and analytic points of view.;Written by over 15 authorities from around the world, Einstein Metrics and Yang-Mills Connections...: discusses current topics in Kaehler geometry, including Kaehler-Einstein metrics, Hermitian-Einstein connections and a new Kaehler version of Kawamata-Viehweg's vanishing theorem; explores algebraic geometric treatments of holomorphic vector bundles on curves and surfaces; addresses nonlinear problems related to Mong-Ampere and Yamabe-type equations as well as nonlinear equations in mathematical physics; and covers interdisciplinary topics such as twistor theory, magnetic monopoles, KP-equations, Einstein and Gibbons-Hawking metrics, and supercommutative algebras of superdifferential operators.;Providing a wide array of original research articles not published elsewhere Einstein Metrics and Yang-Mills Connections is for research mathematicians, including topologists and differential and algebraic geometers, theoretical physicists, and graudate-level students in these disciplines.

Proof of the yamanbe conjecture, without the positive mass theorem, for locally conformally flat manifolds, A. Bahri; Einstein-Hermitian metrics on non-compact kahler manifolds, S. Bando; stability of vector bundles on surfaces and curves, F. Bogomolov; magnetic monopoles and topology, P. Raam; kawamata-viehweg vanishing theorem for compact kahler manifolds, I. Enoki; morse theory and thom-gysin exact sequence, M. Furuta; yang-mills connections of homogeneous bundles II, N. Koiso; non-trivial harmonic spinors on certain algebraic surfaces, D. Kotschick; cohomology on symmetric products, syzgies of canonical curves, and a theorem of kempf, R. Lazarsfeld; self-dual manifolds and hyperbolic geometry, C. LeBrun; stability and Einstein-Kahler metric of a quartic del pezzo surface, T. Mabuchi and S. Mukai; geometric classification of Z-commu6tative algebras of super differential operators, M. Mulase; relative bounds for fano varieties of the second kind, A. Nadel; monopoles and Nahm's equations, H. Nakajima; existence of infinitely many solutions of a conformally invariant elliptic equation, S. Takakuwa.

Professional

TOSHIKI MABUCHI is Professor of Mathematics at the College of General Education, Osaka University, Japan. The author or coauthor of numerous journal articles and book chapters and coeditor of the Osaka Journal of Mathematics, he is a member of the Mathematical Society of Japan. Dr. Mabuchi received the Ph.D. degree (1977) in mathematics from the University of California, Berkeley, and the Ph.D. degree (1983) in mathematics from Osaka University, Japan. SHIGERU MUKAI is Professor of Mathematics at the School of Science, Nagoya University, Japan. The author or coauthor of many journal articles and book chapters and coeditor of the Nagoya Mathematical Journal, he is a member of the Mathematical Society of Japan. Dr. Mukai received the Ph.D. degree (1982) in mathematics from Kyoto University, Japan.