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Einstein Metrics and Yang-Mills Connections
About this book
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.
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Yes, you can access Einstein Metrics and Yang-Mills Connections by Toshiki Mabuchi,Shigeru Mukai in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Cover
- Half Title
- Title Page
- Copyright Page
- Preface
- Table of Contents
- Contributors
- 1. Proof of the Yamabe conjecture, without the positive mass theorem, for locally conformally flat manifolds.
- 2. Einstein-Hermitian metrics on non-compact Kahler manifolds.
- 3. Stability of vector bundles on surfaces and curves.
- 4. Magnetic monopoles and topology.
- 5. Kawamata-Viehweg vanishing theorem for compact Kahler manifolds.
- 6. Morse theory and Thom-Gysin exact sequence.
- 7. Yang-Mills connections of homogeneous bundles II.
- 8. Non-trivial harmonic spinors on certain algebraic surfaces.
- 9. Cohomology on symmetric products, syzygies of canonical curves, and a theorem of Kempf.
- 10. Self-dual manifolds and hyperbolic geometry.
- 11. Stability and Einstein-Kahler metric of a quartic del Pezzo surface.
- 12. Geometric classification of ℤ2-commutative algebras of super differential operators.
- 13. Relative bounds for Fano varieties of the second kind.
- 14. Monopoles and Nahm’s equations.
- 15. Existence of infinitely many solutions of a conformally invariant elliptic equation.
- Index