Email this article Algebra of shares, complete bipartite graphs, and $\mathfrak{sl}_2$ weight system
- Authors: Zinova P.A.1, Kazarian M.E.1,2
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Affiliations:
- HSE University
- Center for Advanced Studies, Skolkovo Institute of Science and Technology
- Issue: Vol 214, No 6 (2023)
- Pages: 87-109
- Section: Articles
- URL: https://journal-vniispk.ru/0368-8666/article/view/133532
- DOI: https://doi.org/10.4213/sm9795
- ID: 133532
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Abstract
A function of chord diagrams is called a weight system if it satisfies the so-called four-term relations. Vassiliev's theory describes finite-order knot invariants in terms of weight systems. In particular, there is a weight system corresponding to the coloured Jones polynomial. This weight system is described in terms of the Lie algebra
We obtain formulae for the generating functions of the values of the
We introduce the algebra of shares and the
About the authors
Polina Aleksandrovna Zinova
HSE University
Author for correspondence.
Email: kazarian@mccme.ru
without scientific degree, no status
Maxim Eduardovich Kazarian
HSE University; Center for Advanced Studies, Skolkovo Institute of Science and Technology
Email: kazarian@mccme.ru
Doctor of physico-mathematical sciences, no status
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