Einstein Metrics and Yang-Mills Connections (eBook, PDF)

Redaktion: Mabuchi, Toshiki; Mukai, Shigeru

• Format: PDF

Produktbeschreibung

Contains papers presented at the 27th Taniguchi International Symposium, held in Sanda, Japan. This title focuses 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. It discusses topics in Kaehler geometry.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 240
• Erscheinungstermin: 16. Oktober 2020
• Englisch
• ISBN-13: 9781000116892
• Artikelnr.: 60396913

Autorenporträt

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.

Inhaltsangabe

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.