A generalization of the Kreweras triangle through the universal $\text{sl}_2$ weight system
Combinatorics
2018-02-06 v3 Geometric Topology
Abstract
In the theory of finite order knot invariants, the universal 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.
Keywords
Cite
@article{arxiv.1712.05475,
title = {A generalization of the Kreweras triangle through the universal $\text{sl}_2$ weight system},
author = {Ange Bigeni},
journal= {arXiv preprint arXiv:1712.05475},
year = {2018}
}
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16 pages