کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4589969 | 1334924 | 2015 | 38 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Zeta functions, excision in cyclic cohomology and index problems
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Zeta functions, excision in cyclic cohomology and index problems Zeta functions, excision in cyclic cohomology and index problems](/preview/png/4589969.png)
چکیده انگلیسی
The aim of this paper is to show how zeta functions and excision in cyclic cohomology may be combined to obtain index theorems. In the first part, we obtain an index formula for “abstract elliptic pseudodifferential operators” associated to spectral triples, in the spirit of the one of Connes and Moscovici. This formula is notably well adapted when the zeta function has multiple poles. The second part is devoted to give a concrete realization of this formula by deriving an index theorem on the simple, but significant example of Heisenberg elliptic operators on a trivial foliation, which are in general not elliptic but hypoelliptic. The formula obtained is an extension of an index formula due to Fedosov.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 268, Issue 5, 1 March 2015, Pages 1167–1204
Journal: Journal of Functional Analysis - Volume 268, Issue 5, 1 March 2015, Pages 1167–1204
نویسندگان
Rudy Rodsphon,