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On an algebraicity theorem of Kontsevich

Abstract : We give in a particular case a combinatorial proof of a recent algebraicity result of Kontsevich; the proof uses generalized one-sided and two-sided Dyck words, or equivalently, excursions and bridges. We indicate a noncommutative version of these notions, which could lead to a full proof. We show also a relation with pointed planar maps.
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Christophe Reutenauer, Marco Robado. On an algebraicity theorem of Kontsevich. 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012), 2012, Nagoya, Japan. pp.239-246, ⟨10.46298/dmtcs.3035⟩. ⟨hal-01283155⟩

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