کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1895122 1044281 2008 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Coverings, correspondences, and noncommutative geometry
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Coverings, correspondences, and noncommutative geometry
چکیده انگلیسی
We construct an additive category where objects are embedded graphs in the 3-sphere and morphisms are geometric correspondences given by 3-manifolds realized in different ways as branched covers of the 3-sphere, up to branched cover cobordisms. We consider dynamical systems obtained from associated convolution algebras endowed with time evolutions defined in terms of the underlying geometries. We describe the relevance of our construction to the problem of spectral correspondences in noncommutative geometry.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 58, Issue 12, December 2008, Pages 1639-1661
نویسندگان
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