Noncommutative geometry of algebraic curves
Algebraic Geometry
2009-06-19 v7 Operator Algebras
Abstract
A covariant functor from the category of generic complex algebraic curves to a category of the AF-algebras is constructed. The construction is based on a representation of the Teichmueller space of a curve by the measured foliations due to Douady, Hubbard, Masur and Thurston. The functor maps isomorphic algebraic curves to the stably isomorphic AF-algebras.
Cite
@article{arxiv.math/0104077,
title = {Noncommutative geometry of algebraic curves},
author = {Igor Nikolaev},
journal= {arXiv preprint arXiv:math/0104077},
year = {2009}
}
Comments
10 pages, final version; to appear Proc. Amer. Math. Soc