A generalization of the Kreweras triangle through the universal sl2 weight system

doi:10.1016/j.jcta.2018.08.005

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A generalization of the Kreweras triangle through the universal sl2 weight system

Ange Bigeni

Jan 1, 2019

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Journal

J. Comb. Theory, Ser. A

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Key Takeaway

Key Takeaway: The Kreweras triangle can be generalized through the universal sl2 weight system, resulting in polynomials with integer coefficients.

Abstract

Abstract In the theory of finite type Vassiliev knot invariants, the universal sl 2 weight system maps the chord diagrams to polynomials in a single variable with integer coefficients. In this paper, we define a family of polynomials that generalize the Kreweras triangle (known to refine the normalized median Genocchi numbers), and we show how it appears in this weight system.

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