کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9516294 1344006 2005 39 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An extended Cheeger-Müller theorem for covering spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
An extended Cheeger-Müller theorem for covering spaces
چکیده انگلیسی
We generalize a theorem of Bismut-Zhang, which extends the Cheeger-Müller theorem on Ray-Singer torsion and Reidemeister torsion, to the case of infinite Galois covering spaces. Our result is stated in the framework of extended cohomology, and generalizes in this case a recent result of Braverman-Carey-Farber-Mathai. It does not use the determinant class condition and thus also (potentially) generalizes several results on L2-torsions due to Burghelea, Friedlander, Kappeler and McDonald. We combine the framework developed by Braverman-Carey-Farber-Mathai on the determinant of extended cohomology with the heat kernel method developed in the original paper of Bismut-Zhang to prove our result.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology - Volume 44, Issue 6, November 2005, Pages 1093-1131
نویسندگان
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