Noncommutative geometry of algebraic curves
Author:
Igor V. Nikolaev
Journal:
Proc. Amer. Math. Soc. 137 (2009), 32833290
MSC (2000):
Primary 14H10, 46L40, 58F10
Published electronically:
May 7, 2009
MathSciNet review:
2515397
Fulltext PDF
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Abstract: A covariant functor from the category of generic complex algebraic curves to a category of the 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 algebras.
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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
DOI:
http://dx.doi.org/10.1090/S0002993909099171
PII:
S 00029939(09)099171
Keywords:
Complex algebraic curves,
$C^*$algebras
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
Article copyright:
© Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
