The Alexander - and Jones - Invariants and Theburau Moduleflorin Constantinescu and Mirko L

نویسنده

  • FLORIN CONSTANTINESCU
چکیده

From the braid-valued Burau module over the braid group we construct the Yang-Baxter matrices yielding the Alexander-and the Jones knot invariants. This generalises an observation of V. F. R. Jones.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The Alexander- and Jones-invariants and the Burau Module

From the braid-valued Burau module over the braid group we construct the Yang-Baxter matrices yielding the Alexanderand the Jones knot invariants. This generalises an observation of V. F. R. Jones.

متن کامل

Skein relations for Milnor’s μ-invariants

The theory of link-homotopy, introduced by Milnor, is an important part of the knot theory, with Milnor’s μ̄-invariants being the basic set of link-homotopy invariants. Skein relations for knot and link invariants played a crucial role in the recent developments of knot theory. However, while skein relations for Alexander and Jones invariants are known for quite a while, a similar treatment of M...

متن کامل

Enhancements of rack counting invariants via dynamical cocycles

We introduce the notion of N-reduced dynamical cocycles and use these objects to define enhancements of the rack counting invariant for classical and virtual knots and links. We provide examples to show that the new invariants are not determined by the rack counting invariant, the Jones polynomial or the generalized Alexander polynomial.

متن کامل

Asymptotic Vassiliev Invariants for Vector Fields

We analyse the asymptotical growth of Vassiliev invariants on non-periodic flow lines of ergodic vector fields on domains of R. More precisely, we show that the asymptotics of Vassiliev invariants is completely determined by the helicity of the vector field. As an application, we determine the asymptotic Alexander and Jones polynomials and give a formula for the asymptotic Kontsevich integral.

متن کامل

New knot and link invariants

We study the new formulas of Th. Fiedler for the degree-3-Vassiliev invariants for knots in the 3-sphere and solid torus and present some results obtained by them. We show that a knot with Jones polynomial consisting of exactly two monomials must have at least 20 crossings.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1995