کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4661071 | 1344402 | 2008 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Refined Kirby calculus for three-manifolds of first homology groups of odd prime orders
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Every integral homology 3-sphere is presented by a framed link with framing ±1 and without linking numbers. Restricting such presentations, Habiro arranged Kirby calculus so that it preserves framings and linkings and moreover showed that his calculus suffices to relate all links with the same results. This paper provides an extension of his result for manifolds of first homology groups of odd prime orders. After defining our set of links, we establish Habiro calculus over it, and show that, for many orders, it works on those manifolds. We further give the existence of the Casson–Walker invariant for them.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 155, Issue 13, 1 July 2008, Pages 1382-1393
Journal: Topology and its Applications - Volume 155, Issue 13, 1 July 2008, Pages 1382-1393