Moduli of complex curves and noncommutative geometry I: classification of complex and quantum tori
نویسنده
چکیده
This paper is a brief account of the moduli of complex curves from the perspective of noncommutative geometry. We focus on problems of Riemann surface theory, which can be settled using K-groups of a noncommutative C∗-algebra. On this way, we prove “generic” arithmeticity of the mapping class group and study correspondences between complex and noncommutative tori.
منابع مشابه
Moduli of complex curves and noncommutative geometry I: Riemann surfaces and dimension groups
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تاریخ انتشار 2009