Ange Bigeni
Published 2017-12-14Version 1
The theory of finite order knot invariants applied to the Lie algebra $\mathfrak{sl}_2$ provides a weight system $\varphi_{\mathfrak{sl}_2}$ which maps the chord diagrams to polynomials in a single variable with integer coefficients. In this paper, following this weight system, we relate the weights of specific chord diagrams to the Kreweras triangle, known to refine the normalized median Genocchi numbers.
Combinatorial interpretations of the Kreweras triangle in terms of subset tuples
Chromatic polynomial and the $\mathfrak{so}$ weight system
On values of $\mathfrak{sl}_3$ weight system on chord diagrams whose intersection graph is complete bipartite
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