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<p>Yuri Manin and Matilde Marcolli proposed a&#xa0;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&#xa0;counterexample that refutes this conjecture.</p>

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ON THE CONJECTURE OF THE GALOIS INVARIANCE OF THE TUTTE POLYNOMIAL FOR GROTHENDIECK’S DESSINS D’ENFANTS

  • 期刊论文

  • 发表日期：

    2026年1月1日

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  • N. Amburg,
  • L. Bril

摘要

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.