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2019 Shabat polynomials and monodromy groups of trees uniquely determined by ramification type
Naiomi Cameron, Mary Kemp, Susan Maslak, Gabrielle Melamed, Richard A. Moy, Jonathan Pham, Austin Wei
Involve 12(5): 791-812 (2019). DOI: 10.2140/involve.2019.12.791

Abstract

A dessin d’enfant or dessin is a bicolored graph embedded into a Riemann surface. Acyclic dessins can be described analytically by preimages of Shabat polynomials and algebraically by their monodromy groups. We determine the Shabat polynomials and monodromy groups of planar acyclic dessins that are uniquely determined by their ramification types.

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Naiomi Cameron. Mary Kemp. Susan Maslak. Gabrielle Melamed. Richard A. Moy. Jonathan Pham. Austin Wei. "Shabat polynomials and monodromy groups of trees uniquely determined by ramification type." Involve 12 (5) 791 - 812, 2019. https://doi.org/10.2140/involve.2019.12.791

Information

Received: 2 May 2018; Revised: 3 November 2018; Accepted: 15 November 2018; Published: 2019
First available in Project Euclid: 29 May 2019

zbMATH: 07072554
MathSciNet: MR3954296
Digital Object Identifier: 10.2140/involve.2019.12.791

Subjects:
Primary: 11G32 , 14H57
Secondary: 20E22

Keywords: Belyi maps , dessins d'enfant , Monodromy groups , Shabat polynomials , trees , wreath products

Rights: Copyright © 2019 Mathematical Sciences Publishers

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Vol.12 • No. 5 • 2019
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