Uniformization, Riemann-Hilbert Correspondence, Calabi-Yau Manifolds & Picard-Fuchs Equations, Paperback / softback Book

Uniformization, Riemann-Hilbert Correspondence, Calabi-Yau Manifolds & Picard-Fuchs Equations Paperback / softback

Edited by Lizhen Ji, Shing Tung Yau

Part of the Advanced Lectures in Mathematics series

Paperback / softback

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The uniformization theorem of Riemann surfaces is one of the most beautiful and important theorems in mathematics.

Besides giving a clean classification of Riemann surfaces, its proof has motivated many new methods, such as the Riemann-Hilbert correspondence, Picard-Fuchs equations, and higher-dimensional generalizations of the uniformization theorem, which include Calabi-Yau manifolds. This volume consists of expository papers on the four topics in its title, written by experts from around the world, and is the first to put forth a comprehensive discussion of these topics, and of the relations between them.

As such, it is valuable as an introduction for beginners, and as a reference for mathematicians in general.

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