کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4582509 | 1333817 | 2010 | 46 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Realizing Alexander polynomials by hyperbolic links
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Realizing Alexander polynomials by hyperbolic links Realizing Alexander polynomials by hyperbolic links](/preview/png/4582509.png)
چکیده انگلیسی
We realize a given (monic) Alexander polynomial by a (fibered) hyperbolic arborescent knot and link having any number of components, and by infinitely many such links having at least 4 components. As a consequence, a Mahler measure minimizing polynomial, if it exists, is realized as the Alexander polynomial of a fibered hyperbolic link of at least 2 components. For a given polynomial, we also give an upper bound for the minimal hyperbolic volume of knots/links realizing the polynomial and, in the opposite direction, construct knots of arbitrarily large volume, which are arborescent, or have given free genus at least 2.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Expositiones Mathematicae - Volume 28, Issue 2, 2010, Pages 133–178
Journal: Expositiones Mathematicae - Volume 28, Issue 2, 2010, Pages 133–178
نویسندگان
A. Stoimenow,