کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1895125 | 1044281 | 2008 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Differential forms and the noncommutative residue
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Differential forms and the noncommutative residue Differential forms and the noncommutative residue](/preview/png/1895125.png)
چکیده انگلیسی
For a pseudo-differential operator S of order 0 acting on sections of a vector bundle B on a compact manifold M without boundary, we associate a differential form of order dimension of M acting on Câ(M)ÃCâ(M). This differential form Ωn,S is given in terms of the noncommutative 1-density res([S,f][S,h]). In the particular case of an even-dimensional, compact, conformal manifold without boundary, we study this differential form for the case (B,S)=(H,F), that is, the Fredholm module associated by Connes [A. Connes, Quantized calculus and applications, in: XIth International Congress of Mathematical Physics (Paris, 1994), Internatl. Press, Cambridge, MA, 1995, pp. 15-36] to the manifold M. We give its explicit expression in the flat case and we address a possible approach to the computations for the general case.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 58, Issue 12, December 2008, Pages 1739-1751
Journal: Journal of Geometry and Physics - Volume 58, Issue 12, December 2008, Pages 1739-1751
نویسندگان
William J. Ugalde,