کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9516627 | 1633125 | 2005 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Peripheral polynomials of hyperbolic knots
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Peripheral polynomials of hyperbolic knots Peripheral polynomials of hyperbolic knots](/preview/png/9516627.png)
چکیده انگلیسی
If K is a hyperbolic knot in S3, an algebraic component of its character variety containing one holonomy of the complete hyperbolic structure of finite volume of S3âK is an algebraic curve K. The traces of the peripheral elements of K define polynomial functions in K, which are related in pairs by polynomials (peripheral polynomials). These are determined by just two adjacent peripheral polynomials. The curves defined by the peripheral polynomials are all birationally equivalent to K, with only one possible exception. The canonical peripheral polynomial relating the trace of the meridian with the trace of the canonical longitude of K, is a factor of the A-polynomial.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 150, Issues 1â3, 14 May 2005, Pages 267-288
Journal: Topology and its Applications - Volume 150, Issues 1â3, 14 May 2005, Pages 267-288
نویسندگان
Hugh M. Hilden, MarÃa Teresa Lozano, José MarÃa Montesinos-Amilibia,