This unique volume contains papers presented at the 27th Taniguchi International Symposium, held in Sanda, Japanfocusing 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 Kahler geometry, including Kahler-Einstein metrics, Hermitian-Einstein connections, and a new Kahler version of Kawamata-Viehweg's vanishing theorem...explores algebraic geometric treatments of holomorphic vector bundles on curves and surfaces...addresses nonlinear problems related to Monge-Ampere and Yamabe-type equations as well as nonlinear equations in mathematical physics...covers interdisciplinary topics such as twistor theory, magnetic monopoles, KP-equations, Einstein and Gibbons-Hawking metrics, and supercommutative algebras of superdifferential operators...and more.
Providing a wide array of original research articles not published elsewhere, Einstein Metrics and Yang-Mills Connections is an outstanding tool for research mathematicians, including topologists and differential and algebraic geometers, theoretical physicists, and graduate-level students in these disciplines.
|Proof of the yamanbe conjecture|
|without the positive mass theorem|
|for locally conformally flat manifolds|
|Einstein-Hermitian metrics on non-compact kahler manifolds|
|stability of vector bundles on surfaces and curves|
|magnetic monopoles and topology|
|kawamata-viehweg vanishing theorem for compact kahler manifolds|
|morse theory and thom-gysin exact sequence|
|yang-mills connections of homogeneous bundles II|
|Table of Contents provided by Publisher. All Rights Reserved.|
Series: Lecture Notes in Pure and Applied Mathematics
Number Of Pages: 240
Published: 20th April 1993
Publisher: TAYLOR & FRANCIS
Country of Publication: US
Dimensions (cm): 25.2 x 17.78 x 1.65
Weight (kg): 0.51
Edition Number: 1