Infinite Genus Riemann Surfaces

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The manuscript below introduces a class of infinite genus Riemann surfaces, specified by means of a number of geometric axioms, to which the classical theory of compact Riemann surfaces up to and including the Torelli Theorem extends. The axioms are flexible enough to include a number of interesting examples, such as the heat curve.

Yellow Ball J.Feldman, H. Knörrer, E.Trubowitz:
Riemann Surfaces of Infinite Genus.
pdf (1786KB)

The paper below provides an informal, pedagogical discussion of the construction.

Yellow Ball J.Feldman, H. Knörrer, E.Trubowitz:
Infinite Genus Riemann Surfaces, Toronto 1995.
in Canadian Mathematical Society/ Société mathématique du Canada 1945-1995
Volume/Tome 3, Invited Papers/ Articles sollicitées
edited by James B. Carrell and Ram Murty, Canadian Mathematical Society, Ottawa (1996) 91-112.
pdf (282KB)

[ My home page | My main research page | UBC Math dept ]