Geodesic
On the conjecture of the Galois invariance of the Tutte polynomial for Grothendieck's dessins d'enfants
Fundamentalʹnaâ i prikladnaâ matematika, Tome 25 (2024) no. 2, pp. 63-77 Cet article a éte moissonné depuis la source Math-Net.Ru

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Yuri Manin and Matilde Marcolli proposed a novel method of constructing invariants of the action of the absolute Galois group on Grothendieck's dessins d'enfant. In particular, they formulated the conjecture that the Tutte polynomial is an example of such an invariant. In this note, we present a counterexample that refutes this conjecture. 
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N. Amburg; L. Bril. On the conjecture of the Galois invariance of the Tutte polynomial for Grothendieck's dessins d'enfants. Fundamentalʹnaâ i prikladnaâ matematika, Tome 25 (2024) no. 2, pp. 63-77. http://geodesic.mathdoc.fr/item/FPM_2024_25_2_a4/

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[2] Manin Yu. I., Marcolli M., “Quantum statistical mechanics of the absolute Galois group”, SIGMA Symmetry Integrability Geom. Methods Appl., 16 (2020), 038 | MR | Zbl