Ribbon Graphs and Belyi Pairs with Partially Prescribed Branching
Given a ribbon graph of arbitrary genus, we construct a spherical graph with the same two columns of the passport. And given a spherical graph, we present an algorithm for constructing a graph with the two columns of the same passport and any admissible genus. We also discuss possible applications t...
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Published in: | Proceedings of the Steklov Institute of Mathematics 2023-03, Vol.320 (1), p.161-171 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites |
Online Access: | Get full text |
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Summary: | Given a ribbon graph of arbitrary genus, we construct a spherical graph with the same two columns of the passport. And given a spherical graph, we present an algorithm for constructing a graph with the two columns of the same passport and any admissible genus. We also discuss possible applications to the theory of dessins d’enfants. |
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ISSN: | 0081-5438 1531-8605 |
DOI: | 10.1134/S008154382301008X |