کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4657733 1344018 2006 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The signature operator at 2
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
The signature operator at 2
چکیده انگلیسی

It is well known that the signature operator on a manifold defines a KK-homology class which is an orientation after inverting 2. Here we address the following puzzle: What is this class localized at 2, and what special properties does it have? Our answers include the following:
• the KK-homology class ΔMΔM of the signature operator is a bordism invariant;
• the reduction mod 8 of the KK-homology class of the signature operator is an oriented homotopy invariant;
• the reduction mod 16 of the KK-homology class of the signature operator is not an oriented homotopy invariant.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology - Volume 45, Issue 1, January 2006, Pages 47–63
نویسندگان
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