Noncommutative geometry of algebraic curves
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- by Igor V. Nikolaev PDF
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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 Teichmüller 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.References
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Additional Information
- Igor V. Nikolaev
- Affiliation: The Fields Institute for Mathematical Sciences, Toronto, Ontario, M5T 3J1, Canada
- Address at time of publication: 101–315 Holmwood Avenue, Ottawa, Ontario, K1S 2R2, Canada
- Email: igor.v.nikolaev@gmail.com
- Received by editor(s): September 5, 2008
- Received by editor(s) in revised form: February 13, 2009
- Published electronically: May 7, 2009
- Additional Notes: The author was partially supported by NSERC
- Communicated by: Varghese Mathai
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 3283-3290
- MSC (2000): Primary 14H10, 46L40, 58F10
- DOI: https://doi.org/10.1090/S0002-9939-09-09917-1
- MathSciNet review: 2515397