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math.CO2018
The defining properties of the Kontsevich unoriented graph complex
Nina J. Rutten, Arthemy V. Kiselev
Consider the real vector space of formal sums of non-empty, finite unoriented graphs without multiple edges and loops. Let the vertices of graphs be unlabelled but let every graph…
math.CO2017★ 10 cited
The heptagon-wheel cocycle in the Kontsevich graph complex
Ricardo Buring, Arthemy Kiselev, Nina Rutten
The real vector space of non-oriented graphs is known to carry a differential graded Lie algebra structure. Cocycles in the Kontsevich graph complex, expressed using formal sums of…
math.CO2017★ 6 cited
Infinitesimal deformations of Poisson bi-vectors using the Kontsevich graph calculus
Ricardo Buring, Arthemy V. Kiselev, Nina Rutten
Let be a Poisson structure on a finite-dimensional affine real manifold. Can be deformed in such a way that it stays Poisson? The language of Kontsevich graphs provides a u…