2021/10/14 by Meilhan, Jean-Baptiste
Mathematics · #Advanced Combinatorial Mathematics #Commutative Algebra and Its Applications #FOS: Mathematics #Geometric Topology (math.GT) #Mathematics and Applications
paper · doi:10.48550/arxiv.2110.07451
openalex publication_date 2021/10/14 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
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.