Einstein metrics and Yang-Mills connections : proceedings of the 27th Taniguchi international symposium

書誌事項

Einstein metrics and Yang-Mills connections : proceedings of the 27th Taniguchi international symposium

edited by Toshiki Mabuchi, Shigeru Mukai

(Lecture notes in pure and applied mathematics, v. 145)

Dekker, c1993

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注記

"The 27th Taniguchi International Symposium "Einstein Metrics and Yang-Mills Connections" was held in Sanda, Japan, from December 6th through 11th, 1990" -- Pref

Includes bibliographical references and index

内容説明・目次

内容説明

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.

目次

  • 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.

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