Linking coefficients and the Kontsevich integral

Jean-Baptiste Meilhan

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arXiv · 2110.07451

Linking coefficients and the Kontsevich integral

Jean-Baptiste Meilhan

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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.

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BibTeX RIS

Jean-Baptiste Meilhan. 2021-10-14. Linking coefficients and the Kontsevich integral. https://arxiv.org/abs/2110.07451

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