Topological, Differential and Conformal Geometry of Surfaces (Universitext) (Paperback)

Topological, Differential and Conformal Geometry of Surfaces (Universitext) By Norbert A'Campo Cover Image
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-1. Basic Differential Geometry.- 2. The Geometry of Manifolds.- 3. Hyperbolic Geometry.- 4. Some Examples and Sources of Geometry.- 5. Differential Topology of Surfaces.- 6. Riemann Surfaces.- 7. Surfaces of Genus g = 0.- 8. Surfaces with Riemannian Metric.- 9. Outline: Uniformization by Spectral Determinant.- 10. Uniformization by Energy.- 11. Families of Spaces.- 12. Functions on Riemann Surfaces.- 13. Line Bundles and Cohomology.- 14. Moduli Spaces and Teichm ller Spaces.- 15. Dimensions of Spaces of Holomorphic Sections.- 16. The Teichm ller Curve and its Universal Property.- 17. Riemann Surfaces and Algebraic Curves.- 18. The Jacobian of a Riemann Surface.- 19. Special Metrics on J-Surfaces.- 20. The Fundamental Group and Coverings.- A. Reminder: Topology.- References.- Index.

About the Author

Norbert A'Campo earned his doctorate in 1972 from the University of Paris-Sud. He was a Professor of Mathematics in Paris (1974-1982) and in Basel (1982-2011) and was an invited speaker at the International Congress of Mathematicians in 1974. In 1988 he was elected president of the Swiss Mathematical Society and in 2012 he became a fellow of the American Mathematical Society. His research focuses on singularity theory.

Product Details
ISBN: 9783030890315
ISBN-10: 3030890317
Publisher: Springer
Publication Date: October 28th, 2021
Pages: 284
Language: English
Series: Universitext