ENGLISH

Riemann Surfaces of Infinite Genus

By Horst Knorrer , and Eugene Trubowitz Joel Feldman

Book information

Publisher
American Mathematical Society, Centre De Recherches Mathematiques
Year
2003
ISBN
9780821833575, 082183357X
Open Library ID
OL11420109M
Language
english
Format
PDF
Filesize
2 MB (1809757 bytes)
Pages
387\387
Library
mexmat
Time added
2009-07-20 03:45:11

Description

As part of a series from the U. of Montreal promoting research in pure and applied mathematics, this volume constructs Riemann surfaces of infinite genus geometrically by pasting together plane domains and handles. In order to find a meaningful generalization of the classical theory of Riemann surfaces in the case of infinite genus, restrictions are imposed in terms of sizes and locations of handles, and in terms of gluing maps. The approach reveals information relevant to the classical theory of Riemann surfaces, the Torelli theorem, and the Kadomcev-Petviashvilli equations. The authors detail several important examples, including hyperelliptic surfaces of infinite genus, heat surfaces, and Fermi surfaces.

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