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Full Description
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.
Contents
Preface -- Contributors -- 1. A. Bahri: Proof of the Yamabe conjecture, without the positive mass theorem, for locally conformally flat manifolds -- 2. S. Bando: Einstein-Hermitian metrics on non-compact Kahler manifolds -- 3. F. Bogomolov: Stability of vector bundles on surfaces and curves -- 4. P. Braam: Magnetic monopoles and topology -- 5. I. Enoki: Kawamata-Viehweg vanishing theorem for compact Kahler manifolds -- 6. M. Furuta: Morse theory and Thom-Gysin exact sequence -- 7. N. Koiso: Yang-Mills connections of homogeneous bundles II -- 8. D. Kotschick: Non-trivial harmonic spinors on certain algebraic surfaces -- 9. R. Lazarsfeld: Cohomology on symmetric products, syzygies of canonical curves, and a theorem of Kempf -- 10. C. LeBrun: Self-dual manifolds and hyperbolic geometry -- 11. T. Mabuchi and S. Mukai: Stability and Einstein-Kahler metric of a quartic del Pezzo surface -- 12. M. Mulase: Geometric classification of Z2-commutative algebras of super differential operators -- 13. A. Nadel: Relative bounds for Fano varieties of the second kind -- 14. H. Nakajima: Monopoles and Nahm's equations -- 15. S. Takakuwa: Existence of infinitely many solutions of a conformally invariant elliptic equation -- Index.
