Riemann Surfaces of Infinite Genus

Erscheinungsjahr 2003
ISBN: 978-0-8218-3357-5
Verlag: American Mathematical Society

Buch, Englisch, Band 20, Format (B × H): 187 mm x 262 mm, Gewicht: 742 g

Reihe: CRM Monograph S.

In this work, the authors geometrically construct Riemann surfaces of infinite genus by pasting together plane domains and handles. In the construction carried out here, restrictions on the asymptotic behaviour of the Riemann surface are formulated in terms of the sizes and locations of the handles and in terms of the gluing maps.

In this book, the authors geometrically construct Riemann surfaces of infinite genus by pasting together plane domains and handles. To achieve a meaningful generalization of the classical theory of Riemann surfaces to the case of infinite genus, one must

sl2s-cohomology, exhaustions with finite charge and theta series; The Torelli Theorem; Examples; The Kadomcev-Petviashvilli equation; Bibliography; sl2s-cohomology, exhaustions with finite charge and theta series; The Torelli Theorem; Examples; The Kadomc

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis

Über Autor(innen)

Feldman, Joel (University of Bristol Columbia, Vancover, Canada) / Knorrer, Horst (Eidgenossische Technische Hochschule, Zurich, Switzerland) / Trubowitz, Eugene (Eidgenossische Technische Hochschule, Zurich, Switzerland)