The Combinatorial Gauss Diagram Formula for Kontsevich Integral

2000/06/24 by Tomoshiro Ochiai, Ochiai, Tomoshiro
Mathematics · Physics and Astronomy · #57M25 #Advanced Mathematical Theories #Advanced Mathematical Theories and Applications #FOS: Mathematics #Geometric Topology (math.GT) #Mathematics and Applications #math.GT #msc:57M25

paper · pdf · doi:10.48550/arxiv.math/0006184

54 pages

arxiv created 2000/06/24 · openalex publication_date 2000/06/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Related

• Linking coefficients and the Kontsevich integral
• The Kontsevich integral and algebraic structures on the space of diagrams
• The Kontsevich integral
• A Stringy Generalization of the Kontsevich Integral
• Functional Integration and the Kontsevich Integral