Algebra of shares, complete bipartite graphs, and $\mathfrak{sl}_2$ weight system
- Авторлар: Zinova P.A.1, Kazarian M.E.1,2
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Мекемелер:
- HSE University
- Center for Advanced Studies, Skolkovo Institute of Science and Technology
- Шығарылым: Том 214, № 6 (2023)
- Беттер: 87-109
- Бөлім: Articles
- URL: https://bakhtiniada.ru/0368-8666/article/view/133532
- DOI: https://doi.org/10.4213/sm9795
- ID: 133532
Дәйексөз келтіру
Аннотация
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
Негізгі сөздер
Авторлар туралы
Polina Zinova
HSE University
Хат алмасуға жауапты Автор.
Email: kazarian@mccme.ru
without scientific degree, no status
Maxim Kazarian
HSE University; Center for Advanced Studies, Skolkovo Institute of Science and Technology
Email: kazarian@mccme.ru
Doctor of physico-mathematical sciences, no status
Әдебиет тізімі
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