Work

Linking coefficients and the Kontsevich integral

Year: 2024

Type: article

Abstract: 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 coefficients in the Kontsevich integral. This allows in particular to express the sum of all coefficients of a given degree in terms of the linking coefficients. The proofs are purely combinatorial.

Source: Annales de la faculté des sciences de Toulouse Mathématiques

DOI: 10.5802/afst.1773

Author: Jean-Baptiste Meilhan

Institution: Institut Fourier

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Agence Nationale de la Recherche

Award: Algebraic Aspects of Mapping Class Groups and Related Groups