کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9516320 | 1344010 | 2005 | 51 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Higher-order polynomial invariants of 3-manifolds giving lower bounds for the Thurston norm
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Higher-order polynomial invariants of 3-manifolds giving lower bounds for the Thurston norm Higher-order polynomial invariants of 3-manifolds giving lower bounds for the Thurston norm](/preview/png/9516320.png)
چکیده انگلیسی
We define an infinite sequence of new invariants, δn, of a group G that measure the size of the successive quotients of the derived series of G. In the case that G is the fundamental group of a 3-manifold, we obtain new 3-manifold invariants. These invariants are closely related to the topology of the 3-manifold. They give lower bounds for the Thurston norm which provide better estimates than the bound established by McMullen using the Alexander norm. We also show that the δn give obstructions to a 3-manifold fibering over S1 and to a 3-manifold being Seifert fibered. Moreover, we show that the δn give computable algebraic obstructions to a 4-manifold of the form XÃS1 admitting a symplectic structure even when the obstructions given by the Seiberg-Witten invariants fail. There are also applications to the minimal ropelength and genera of knots and links in S3.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology - Volume 44, Issue 5, September 2005, Pages 895-945
Journal: Topology - Volume 44, Issue 5, September 2005, Pages 895-945
نویسندگان
Shelly L. Harvey,