Functional Integration and the Kontsevich Integral
نویسنده
چکیده
This paper is an exposition of the relationship between Witten’s functional integral and Vassiliev invariants.
منابع مشابه
Considerations on Some Algebraic Properties of Feynman Integrals
Some algebraic properties of integrals over configuration spaces are investigated in order to better understand quantization and the Connes-Kreimer algebraic approach to renormalization. In order to isolate the mathematical-physics interface to quantum field theory independent from the specifics of the various implementations, the sigma model of Kontsevich is investigated in more detail. Due to...
متن کاملThe Combinatorial Gauss Diagram Formula for Kontsevich Integral
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.
متن کاملThe Loop Expansion of the Kontsevich Integral, the Null-move and S-equivalence
The Kontsevich integral of a knot is a graph-valued invariant which (when graded by the Vassiliev degree of graphs) is characterized by a universal property; namely it is a universal Vassiliev invariant of knots. We introduce a second grading of the Kontsevich integral, the Euler degree, and a geometric nullmove on the set of knots. We explain the relation of the null-move to S-equivalence, and...
متن کامل6 v 1 6 J an 1 99 4 THE UNIVERSAL VASSILIEV - KONTSEVICH INVARIANT FOR FRAMED ORIENTED LINKS
We give a generalization of the Reshetikhin-Turaev functor for tangles to get a combinatorial formula for the Kontsevich integral for framed oriented links. The uniqueness of the universal Vassiliev-Kontsevich invariant of framed oriented links is established. As a corollary one gets the rationality of Kontsevich integral.
متن کاملThe Kontsevich Integral and Algebraic Structures on the Space of Diagrams
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 utilized with Le’s theorem on the behaviour of the Kontsevich integral under cabling and with the Melvin-Morton Theorem, to obtain, in the Kontsevich integral fo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1998