کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4582547 | 1333823 | 2007 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A note on the characteristic classes of non-positively curved manifolds
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A note on the characteristic classes of non-positively curved manifolds A note on the characteristic classes of non-positively curved manifolds](/preview/png/4582547.png)
چکیده انگلیسی
In this expository note, we give a simple conceptual proof of the Hirzebruch proportionality principle for Pontrjagin numbers of non-positively curved locally symmetric spaces. We also establish (non)-vanishing results for Stiefel–Whitney and Pontrjagin numbers of (finite covers of) the Gromov–Thurston examples of compact negatively curved manifolds. A byproduct of our argument gives a constructive proof of a well-known result of Rohlin: every closed orientable 3-manifold bounds orientably. We mention some geometric corollaries: a lower bound for degrees of covers having tangential maps to the non-negatively curved duals and estimates for the complexity of some representations of certain uniform lattices.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Expositiones Mathematicae - Volume 25, Issue 1, 1 February 2007, Pages 21–35
Journal: Expositiones Mathematicae - Volume 25, Issue 1, 1 February 2007, Pages 21–35
نویسندگان
Jean-François Lafont, Ranja Roy,