With hundreds of worked examples, exercises and illustrations, this detailed exposition of
the theory of Vassiliev knot invariants opens the field to students with little or no knowledge …

The 3-loop invariant (or, the 3-loop polynomial) of a knot is a rational form (or, a polynomial)
presenting the 3-loop part of the Kontsevich invariant of knots. In this paper, we calculate the …

We analyse the asymptotical growth of Vassiliev invariants on nonperiodic flow lines of
ergodic vector fields on domains of R3. More precisely, we show that the asymptotics of …

1. List of Additions 2 2. Electronic Addresses 5 3. Acknowledgement 12 4. References 12
4.1. References beginning with A 12 4.2. References beginning with B 13 4.3. References …

arXiv:math/0501040v3 [math.GT] 15 Feb 2005 Page 1 arXiv:math/0501040v3 [math.GT] 15 Feb
2005 THE KONTSEVICH INTEGRAL S. CHMUTOV, S. DUZHIN Abstract. This is an overview …

From the construction of the Casson invariant of homology spheres using intersection on
configuration spaces, we propose a construction of an equivariant Casson invariant for a …

This book is a detailed introduction to the theory of finite type (Vassiliev) knot invariants, with
a stress on its combinatorial aspects. It is intended to serve both as a textbook for readers …

We analyse the asymptotical growth of Vassiliev invariants on non-periodic flow lines of
ergodic vector fields on domains of $\R^ 3$. More precisely, we show that the asymptotics of …

We give a restriction of the set of possible values of the 3-loop polynomials of genus 1 knots
with trivial Alexander polynomial. As its special case, we present the 3-loop polynomial of …

В обзорной статье, предназначенной широкому кругу математиков, даются основные
определения, примеры, главные теоремы и формулировки открытых проблем в теории …