相关论文: The Kontsevich integral

This is a survey article to be part of the Encyclopedia of Mathematical Physics, to be published by Elsevier in the beginning of 2006.

This is an expository article for Elsevier's Encyclopedia of Mathematical Physics on the subject in the title. Comments/corrections welcome.

This paper is an exposition of heuristics related to Witten's functional integral, relating it to Vassiliev invariants and to the Kontsevich integrals that can be used to produce Vassiliev invariants of knots and links.In particular, we…

The paper is written for Kluwer's Encyclopaedia of Mathematics.

We give a formula for an sl_2 approximation of the Kontsevich integral of the unknot.

This is a review for Elsevier's Encyclopedia of mathematical physics.

This is a survey article on finite type invariants of 3-manifolds written for the Encyclopedia of Mathematical Physics to be published by Elsevier.

This is an overview article on finite type invariants, written for the Encyclopedia of Mathematical Physics

In this paper, we shall give an explicit Gauss diagram formula for the Kontsevich integral of links up to degree four. This practical formula enables us to actually compute the Kontsevich integral in a combinatorial way.

This is an expository article for the Encyclopedia of Mathematical Physics on the subject in the title.

Draft version of an article prepared for the Encyclopedia of Mathematical Physics, Elsevier, to appear in 2006.

This brief note, written for non-specialists, aims at drawing an introductive overview of the multiverse issue.

An expository article on Turaev surfaces written for "A Concise Encyclopedia of Knot Theory," to appear.

It is well known how the linking number and framing can be extracted from the degree 1 part of the (framed) Kontsevich integral. This note gives a general formula expressing any product of powers of these two invariants as combination of…

This article describes some aspects of Cauchy integrals and related geometry of sets and measures in Euclidean spaces, etc.

To appear in Encyclopedia of Mathematical Physics, published by Elsevier in early 2006. Comments/corrections welcome. The article surveys topological aspects in gauge theories.

Addendum to the paper Combinatorics of the Modular Group II The Kontsevich integrals, hep-th/9201001, by C. Itzykson and J.-B. Zuber (3 pages)

Electronic version of Entry in Encyclopedia of Nonlinear Science.

This paper is part expository and part presentation of calculational results. The target space of the Kontsevich integral for knots is a space of diagrams; this space has various algebraic structures which are described here. These are…

We review quantum field theory approach to the knot theory. Using holomorphic gauge we obtain the Kontsevich integral. It is explained how to calculate Vassiliev invariants and coefficients in Kontsevich integral in a combinatorial way…