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Noncommutative geometry of algebraic curves

Igor Nikolaev
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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.

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Igor Nikolaev. 2009-02-16. Noncommutative geometry of algebraic curves. https://doi.org/10.1090/s0002-9939-09-09917-1

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